If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?

Answers

Answer 1

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]


Related Questions

Multi step equations that equal 17 with fractions

Answers

Answer:

7/1 - 7/1 + 17/1 = 17

Step-by-step explanation:

The solution to the equation (x/6 - 4 + 2/3) = -1/2, using the LCD or clearing method, is x =17 by solving multistep equations that equal 17 with fractions

To solve this equation, use the LCD (Least Common Denominator) method to eliminate the fractions.

The LCD in this case is 6, as it is the smallest number that both 6 and 3 (the denominators of the fractions) can evenly divide.

Step 1: Multiply every term in the equation by 6 to clear the fractions:

[tex]6 \times (x/6 - 4 + 2/3) = 6 \times(-1/2)[/tex]

Simplifying the equation:

[tex]x - 24 + 4 = -3[/tex]

Step 2: Combine like terms on the left side:

[tex]x - 20 = -3[/tex]

Step 3: Isolate the x variable by adding 20 to both sides of the equation:

[tex]x - 20 + 20 = -3 + 20[/tex]

Simplifying further:

x = 17

Therefore, the solution to the equation [tex](x/6 - 4 + 2/3) = -1/2[/tex] is [tex]x = 17[/tex].

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Question: Solve the  multistep equations  (x/6-4+2/3)=-1/2  that equal 17 with fractions using LCD or Clearing method.

Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17

Answers

Answer: I cannot tell what equations you are talking about.

Step-by-step explanation:

Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.

Answer: B

Step-by-step explanation:

Got it right

-19x-17 = -93
Also when you solve it has to be with the addition property of equality

Answers

Answer:

Addition property of equality formula

Lesson Summary

We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + c.

Step-by-step explanation:

Help please this is due today!!!

please provide a small explanation!!

Answers

Answer:

200 sq cm

Step-by-step explanation:

Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.

The front and back are both 10 x 20, so 200 each = 400

The left and right are 5 x 20, so 100 each = 200

The lateral surface area is 200 sq. cm.

/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]

Answers

Step-by-step explanation:

[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]

[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]

[tex]2( x - 9) = 3(2x - 9) \\ [/tex]

[tex]2x - 18 = 6x - 27[/tex]

[tex]27 - 18 = 6x - 2x[/tex]

[tex]9 = 4x[/tex]

[tex]x = \frac{9}{4} \\ [/tex]

Type the correct answer in the box.
3 units
8 units
9 units
3 units
21 units
The area of the figure is
square units.
Plz help

Answers

Answer:

I think but not sure we read this question by 3 unit

|-13| = I do not get how I solve this equation could you please help me

Answers

Answer:

13

Step-by-step explanation:

whenever you take the absolute value of something it changes from negative to positive

|-13| is 13, its just how far away it is from zero

A grocery store can purchase Sugar Specks cereal for $2.00 per box. If the store marks the cereal up by 5%, what will it sell each box of Sugar specks for?

Answers

Answer:

$2.10

Step-by-step explanation:

Answer:

$2.1

Step-by-step explanation:

2 x 0.05 = 0.1

5+0.1 = $2.1

What is the range of the function y= √x+5

Answers

Answer: {f(x)∈R∣f(x)≥0}

Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .

Answer:

Y>0

Step-by-step explanation:

To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).

Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

y=2×5

Step-by-step explanation:

sorry if im wrong

It believe is Y=4x+2

May I please receive help?

Answers

Answer:

(32)2

1024

(28) 2

784

1024-784= 240

I think nearest 10 can 256 or 225 then find square

Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40

Answers

Answer:

surface area=1/2perimeterofbase+slantheight+b(base)

Step-by-step explanation:

1/2(40)=20(8)=160+100=260D

Answer:

is 10+10+8+8+8+8

Step-by-step explanation:

just trial. not sure

The following angles are


Supplemnetary
Linear Pair
Adjacent
Vertical Angles

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.

The price of an item has been reduced by 20% The original price was $32 find the price of the item now.

Answers

Answer:

25.6

Step-by-step explanation:

32-(32*20%)=32-6.4=25.6

42 is the product of 6 and y. Solve for y

Answers

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Choose whether the following graph represents a linear function or a nonlinear function.

Answers

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

What math do high schoolers learn? Do they only learn trigonometry, geometry and equations?

Answers

Answer:

trigonometry

Step-by-step explanation:

hopes this helps

Answer:

This depends on the level they are at. For example, I am a 7th grader in Algebra 1 Honors, but most students take Algebra 1 in high school. Classes range from Algebra 1 - Calculus in High school.

Step-by-step explanation:

Can someone please
Help me with this graph

Answers

Answer:

graph the slope and the -2

Step-by-step explanation:

first, plot a point at (0,-2) because of the -2 as the y intercept

then, start graphing ur slope

ur next points should be

(2,-1), (4,0) (6,1) and so on

Find the inverse function. 1 f(x) = 1 = 2x+2 + f-1(x) = [? ]x + [​

Answers

Answer:

y= 2x - 1

Step-by-step explanation:

i hope that helps

Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.

Answers

Given to us:

[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]

Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.

(a)

[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.

hence, this is an additive inverse.

(b)

[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

(c)

[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex]  on solving this we will get zero.

hence, this is an additive inverse.

(d)

[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex]    on solving this we will get zero.

hence, this is an additive inverse.

(e)

[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

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The difference of x and 15 is 62. Solve for x

Answers

Answer:

x is either 77 or -47

Step-by-step explanation:

Answer: either 77 or -47

Step-by-step explanation:

hey i really need help its 11:32 where I am and this assignments due at 12:00
please!!!!​

Answers

%/100 =is/of
Good equation our teacher taught us and the one you’re looking for put x

Answer:

3: 67 5:200% 6: 50% 7: 32 8) 20

Step-by-step explanation:

Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS

Answers

(6a - 8) + 50 = 90

6a - 8 + 50 = 90

6a + 42 = 90

6a = 90 - 42

6a = 48

a = 48/6

•°• a = 8

Given the function below find f(-2).

f(x)=x2−3x+5

Group of answer choices

10

15

20

25

Answers

15
See picture attached

pls answer quickly

Students at a school were asked to state their preferences in music. Results of the survey are shown in the circle chart.

What percent of students preferred rock and classical music?

A) 15%

B) 26%

C) 39%

D) 57%​

Answers

Answer:

B) 26%

Step-by-step explanation:

The yellow part of the graph represents Rock, which is 15%, and the red part of the graph represents Classical. So, you simply add them together.

Answer:

B) 26%.

Step-by-step explanation:

Find the Rock percentage in the chart. (15%)

Find the Classical percentage in the chart. (11%)

Add the Rock and Classical percentages together. (26%)

Emily has a bag that contains apple chews, cherry chews, and peach chews. She
performs an experiment. Emily randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Emily performs the experiment 53 times. The
results are shown below:
An apple chew was selected 46 times.
A cherry chew was selected 5 times.
A peach chew was selected 2 times.
Based on these results, express the probability that the next chew Emily removes
from the bag will be apple chew as a percent to the nearest whole number.

Answers

Answer:

5%

Step-by-step explanation:

So far, the experiment is done 53 times

Out of the 53 times, an apple chew was selected 46 times

To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)

Solve three tenths times five sevenths.

fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths

Answers

3/10 * 5/7
Multiple numerators and denominators of each

So

15/70

Therefore the answer is fifteen seventieths

Hope this helps!
Brainliest is much appreciated!

Answer:

15/70 is the answer

Step-by-step explanation:

3/10 x 5/7

3x5=15 and 10x7=70

As a result, the answer to the question is 15/70

Thank you for reading! It is my hope that you will find it helpful in some way!

Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help​

Answers

$1350
4500*6*1/2= 1350

17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer

Answers

Answer:

Option A

Step-by-step explanation:

Let,

Length = 5x

Breadth = 4x

Perimeter = 2(l + b)

=> 144 = 2(5x + 4x)

=> 144 = 2(9x)

=> 144 = 18x

=> 144/18 = x

=> 8 = x

Therefore,

Length = 5x = 5(8) = 40 cm

One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?

Answers

Answer: -8 - 17 = -25

Step-by-step explanation: I HOPE THIS HELPS

Answer:

-25° F

Step-by-step explanation:

We start off at - 8° F

The temperature drops 17 degrees by the end of the day

The temperature is now - 8 - 17 = -25° F

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