HELPPP
Verify that csc theta cos theta tan theta=1

HELPPP Verify That Csc Theta Cos Theta Tan Theta=1

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]

Answer 2

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Step-by-step explanation:


Related Questions

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope intercept form

Answers

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

Four DVDs cost $84. If each DVD costs the same, how much does one DVD cost
the answers are these:
$16
$21
$26
$18

Answers

Answer:

one dvd costs $21

The cost of a gym membership is a onetime fee of $140, plus a monthly fee of $40, Brendan wrote a check for $500 to pay his gym membership for a certain

number of months, including the onetime fee. How many months of the members did he pay?

Answers

Answer:

9 months

Step-by-step explanation:

Given data

One time fee= $140

Monthly fee= $40

Total amount of check = $500

The expression that describes the situation is given as

y=mx+c

where y= the total amount of the check

m= the monthly fee

x= the number of months

c= the one time fee

Substitute

500=40x+140

500-140=40x

360=40x

x= 360/40

x=9

Hence the number of months is 9 months

y= -x +3 and y = x - 1

Answers

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

Answers

Answer:

11.6m

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

We solve the above question using the Trigonometric function of Sine.

sin θ = Opposite/ Hypotenuse

Hypotenuse = Length of the ladder = 13.5m

Opposite = d

θ = 59° 22'

= 59° + 22/60

= 59° + 0.367

= 59.367°

Hence,

sin 59.367 = d/13.5m

d = sin 59.367 × 13.5m

d = 11.616057416m

Approximately = 11.6m

Therefore, the distance d the ladder goes up the wall is 11.6m

A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 71°F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 338e^-0.03t What is the approximate temperature of the pan after it has been away from the heat for 8 minutes? A. 336.9°F B. 500.7°F C. 265.9°F D. 194.9°F

Answers

Answer: C. [tex]265.9^{\circ}F[/tex]

Step-by-step explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

[tex]D = 338e^{-0.03t}[/tex]

At t= 8 minutes, we get

[tex]D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F[/tex]

The approximate temperature of the pan after it has been away from the heat for 8 minutes=   [tex]265.9^{\circ}F[/tex]

find the range of the data. 71, 67, 76, 66, 68, 79, 78, 70

Answers

Answer:

the range is 13

Step-by-step explanation:

Range is the largest number subtreacted from the smallest. In this case, it will be, 79-66=13

Answer:

79 - 66 = 13

Range: 13

Please help me in math

Answers

1. x[tex]\\1. x_{1}=-4, x_{2}=-3\\2. x_{1}=-4, x_{2}=9\\3. x_{1}=-5, x_{2}=8\\4. x_{1}=-4, x_{2}=1.5\\5. x_{1}=-4, x_{2}=4\\6. x_{1}=2, x_{2}=4\\7. x_{1}=1.75, x_{2}=1.75\\8.x_{1}=-\sqrt{7}-6 , x_{2}=\sqrt{7} -6\\9. x_{1}=-2, x_{2}=1\\1. x_{1}=-8, x_{2}=8[/tex]=-4, x2=-3

2.

1
The double box-and-whisker plot shows the test scores earned in Ms. Ricks' first and second period classes. Based on the
information presented, select all the statements that correctly compare to the two classes,
Test Scores
1st Period
2nd Period
50 55 60 65 70 75 80 85 90 95 100
A The highest score was obtained in Ms. Ricks' second period class.
B The lowest score was obtained in Ms. Ricks' first period class.
C The Interquartile Range (IQR) is higher in Ms. Ricks' first period class.
D The Interquartile Range (IQR) is higher in Ms. Ricks' second period class.
EMs. Ricks' first period scored better overall than second period.
F Ms. Ricks' second period scored better overall than first period.

Answers

Answer:

B and c and also f is the answer

1st Period: Minimum = 60, Lower Quartile = 75, Median = 80, Upper Quartile = 90, Maximum = 98

​* Range = 98-60 = 38; *Interquartile Range = 90-75 = 15

2nd Period: Minimum = 70, Lower Quartile = 80, Median = 85, Upper Quartile = 91, Maximum = 95

* Range = 95-70 = 25; *Interquartile Range = 91-70= 21

​Correct Answers: B, C, F

​B - lowest score was a 60 in first period

​C - IQR in 2nd period is 21, which is higher than 15 in first period

​F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.

Correct answers are :-

B - lowest score was a 60 in first period

​C - IQR in 2nd period is 21, which is higher than 15 in first period

​F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.

What is statistics?

The practice or science of collecting and analysing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample.

1st Period: Minimum = 60, Lower Quartile = 75, Median = 80, Upper Quartile = 90, Maximum = 98

​* Range = 98-60 = 38; *Interquartile Range = 90-75 = 15

2nd Period: Minimum = 70, Lower Quartile = 80, Median = 85, Upper Quartile = 91, Maximum = 95

* Range = 95-70 = 25; *Interquartile Range = 91-70= 21

​Hence the solutions are:-

B - lowest score was a 60 in first period

​C - IQR in 2nd period is 21, which is higher than 15 in first period

​F - Approximately 75% (Q1-Q3) of first period scores are higher than 75% (Q1-Q3) of second period.

To know more about statistics follow

https://brainly.com/question/15525560

#SPJ2

Which point is located at (4,-2)? A B C D

Answers

point B is located at (4, -2)

Answer:

B

Step-by-step explanation:

ordered pairs are (x,y) meaning the first value in the ordered pair would be the value you find on the x axis (horizontal) and the second value in the ordered pair would be the value you find on the y axis (vertical).

Please help! Also how do you know?

Answers

Answer:

A. All four sides must be congruent.

Step-by-step explanation:

A quadrilateral has four sides. A rhombus has four equal sides, which are congruent. The angles can be different. It doesn't have four lines of symmetry. One triangles sums to 180 degrees not 4. 4 triangles would sum up to 720 degrees

Giving brainliest pleeeaaasssse help!
If heat transfers from hot to cold, and stops when two objects reach the same temperature, explain why it is possible for the inside of your car to be hotter than the air outside on a hot summer day.

Does a gas give off or absorb energy when it turns into a solid? Explain your answer.

You dont have to answer both just helping me with one would help me out!!! :)

also robot scammers stop giving me random links

Answers

Answer:

1. Consider a hot pot taken off the stove and placed on a tile countertop. At first it cools quickly. As it cools, the difference in temperature between the pot and the room air becomes less, and so it takes a long time for the pot to lose enough heat to match room temperature. Two objects at the same temperature are said to be in equilibrium.

2.  When a liquid changes into a gas it absorbs energy. When it changes into a solid it gives off energy...If a solid (dry ice for example) is allowed to sublimate into a gas, it absorbs heat - that's why it feels cold when you touch ice. So, if a gas changes into a liquid, it give off heat as an opposite effect.  Anytime you compress a gas, it gets warmer.

Find the 31st term 13,22,31,...

Answers

Answer:

The answer is 5

Step-by-step explanation:

Answer: an=9n-5

Step-by-step explanation:

that would leave you with the answer 5 !

i hope this helped! C:

A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?

Select one:

Its height is two thirds the length of its radius.

The length of its radius is twice its height.

The length of its radius is two thirds its height.

Its height is twice the length of its radius.

Answers

Answer:

Step-by-step explanation:

B

Answer: it’s hight is twice the length of its radius

Step-by-step explanation:

17. Find the volume of the rectangular prism. (1p Not drawn to scale.​

Answers

Answer:

The answer is 240 m^3.

Step-by-step explanation:

On Monday, a local hamburger shop sold a combined total of 352 hamburgers and cheeseburgers. The number of cheeseburgers
sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

To answer this question, you could use algebra.

If the number of cheeseburgers was three times the number of hamburgers, we could write this as.

Cheeseburgers= 3x and Hamburgers = x

We can then write an expression for the total number of burgers.

4x = 352

Divide both sides by four.

x = 88

Because hamburgers = x in relation to the cheeseburgers, that would mean the number of hamburgers sold on monday was 88.

which answer choice ?

Answers

Answer:

the fourth one

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

40.2

Step-by-step explanation:

Which lines are perpendicular to 3x + 6y = 5? Select all that apply.
A. 3x + 6y = 10
B. y = 2x - 1
C. y - 4 = 2(x + 7)
D. x - 2y = -6

Answers

The lines which are perpendicular to 3x + 6y = 5 are; Choice B and C; y = 2x - 1 and y - 4 = 2(x + 7).

Perpendicular lines

From the task content, it follows that the given equation is; 3x+ 6y = 5.

By rewriting the equation in slope intercept form; it follows that; y = (-1/2)x +5/6. Hence, the slope of the line is; -1/2.

From line geometry, it follows that two lines are perpendicular if; m1 × m2 = -1.

Therefore, a line perpendicular to the given line will have a slope of 2.

From the given option, the lines which are perpendicular to 3x + 6y = 5 upon conversion to the Slope-intercept form are; Choice B and C.

Read more on perpendicular lines;

https://brainly.com/question/1202004

Divide. Write your answer as a fraction or a mixed number in simplest form.

3 3/4 divided by 1 1/8

Answers

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Help me pls pls help

Answers

Double 8 means to do 8 x 2 and you also need to do 4x2. In the end you need to subtract the two numbers so you need brackets.

This means (8x2)-(4x2) is the correct answer!!

Hope this helps :)

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

Help I’ll give brainliest

Answers

Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.

1. Find the total surface area of the shape below:
9 cm
8 cm
10 cm
8 cm
12 cm

Answers

Answer:

There isn't the picture

What is the scale factor?

Answers

The scale factor is 5. 50/10 is 5, and they are both the hypotenuse

[tex]\frac{2x^{-3}y^{-2}}{z^{4} }[/tex]

Answers

you welcome :)
I hope I did something for you

volume of cylinder in terms of pi
6cm radius
5cm height

Answers

Answer: V≈565.49

Step-by-step explanation:

V=πr2h=π·62·5≈565.48668

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry I

Answers

Answer:

4/8.1 is the answer.

Step-by-step explanation:

sin Θ = opposite side / hypotenuse

sin ∠F = 4/8.1

Answer: 4/8.1

Step-by-step explanation:

SOH CAH TOA

So son uses opposite and hypotenuse

Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so

sin-1(4/8.1)= angle DFE

Important help asap.

Answers

Answer: y = 5x

Step-by-step explanation:

(check to make sure it matches the graph)

y = 5(0) = 0

y = 5(2) = 10

y = 5(4) = 20

y = 5(6) = 30

y = 5(20) = 100 dollars

it it a acute, obtuse, or Right someone plzzzz help me


Answers

Answer:

Acute angle

Step-by-step explanation:

Obtuse are a bit slanted Right angles are Shaped like an L

Answer:

Obtuse

Step-by-step explanation:

This is an obtuse triangle. Because the degrees of the angle is more than 90 degrees. A right triangle's degrees is 90 exactly and usually has a square marking the angle, an acute is less than 90 degrees for the angle.

I hope you understand this now! :)

Which expression is equivalent to c - 5 - 9c

Answers

Answer:

c - 9c - 5

-8c - 5

please give me brainliest

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