Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________

Answers

Answer 1

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35


Related Questions

Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.

Answers

It is 103.68 degrees :)

HELP PLEASE!! What are the answers, say the answers to the blanks and if you can please try to explain it please i failed algebra 3 times and i really need help

Answers

Answer:

step: 4(x-24x)to the power of 2 = 3-7 or -4

Step-by-step explanation:

solution: solve it

would love to have a second opinion, this is what i got.

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

Answer:

1) (3 7 3 5 g)

2) 7+x+3⋅y

3) 2/9 x/5

-3 ( 7 + 5 g) = -21 - 15 g = -15 g - 21(x + 7) + 3y = x + 3y + 7[tex] \frac{2}{9} - \frac{1}{5} x \\ = > \frac{10-9x}{45} \\ = > \frac{-9x+10}{45} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh





25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds


.hope this helps!

Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?

Answers

Based on the information the cost of the product is $40,000.

Given:

Percentage earn=5% or 0.05

Amount earned=$2,000

Let x represent the cost of the product

Hence:

Formulate

.05x = $2000  

Divide both sides by .05

x=$2,000/.05

x=$40,000

Inconclusion  the cost of the product is $40,000.

Learn more about cost here:https://brainly.com/question/824281

help QUICK PLS 12 POINTS JUST PLS

Answers

Answer:

The answer is 8.025.

Hope that helps. x

Yup, the guy above me is correct.

Help me ;-;

Find (2)(‐3)

Answers

-6
Would be your answer

3. * + 6 = 10 (1 point)
5
044
30
O20
0-20

Answers

Step-by-step explanation:

I think its b.30 but I'm not sure

Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.

Answers

The graph is wrong, the slope is correct but because the sign is less than y that means the line on the graph should be dotted not solid.

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

it’s is even bc it doesn’t go through the origin

Answer:

even

Step-by-step explanation:

Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?

Answers

She will need at least 8 bunches

Yao bought 3 feet of blue ribbon and
24 inches of red ribbon. The ribbon costs
$2.00 per foot. What is the total cost of
the ribbon?

Answers

Answer:

It would've costed $8 to buy these ribbons.

Step-by-step explanation:

Given:

3 feet of blue ribbon = 36 inches of blue ribbons2 feet of red ribbon = 24 inches of red ribbons\1 foot of ribbon = $2

(3 + 2) x 2 = Total cost

=> (5) x 2

= $10

Therefore, it would've costed $10 to buy these ribbons.

Hoped this helped.

Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *

Answers

Let p = percent change

p = (new amount)/(original amount) • 100

p = (95 - 75)/75 • 100

p = 20/75 • 100

p = 26.666667

p = 26.6%

Done.

Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form

Answers

Answer:

y=-3x^2+2x+201

Step-by-step explanation:

How many solutions does this equation have?

–2b − 9 = –b

Answers

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

What is the slope of the following line?

Answers

The slope of the line is 1/-2

You only have to rise one time, then go over to the left two times in order to get to another point.

Plzzzz help mee plzzzzz plzzzzz

Answers

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)

Answers

Answer:

The top one

Step-by-step explanation:

Hope it helps

PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST

Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)

Answers

Answer:

[tex]\sqrt[3]{x}[/tex]

[tex]x^3[/tex]

is

Step-by-step explanation:

WILL GIVE BRAINLIEST!!
Which is one solution, no solution, and infinite solutions?

3(4x-2) = 12x - 6
3(4x-2)= -12x - 6
-3(4x-2) = -12x - 2

Answers

Step-by-step explanation:

3(4x - 2) = 12x - 6

12x - 6 = 12x - 6

that is always true, no matter what value we pick for x.

so, this has infinite many solutions.

3(4x - 2) = -12x - 6

12x - 6 = -12x - 6

24x = 0

x = 0

this has one solution.

-3(4x - 2) = -12x - 2

-12x - 6 = -12x - 2

-6 = -2

this is never true, no matter what value we pick for x.

so, this has no solution at all.

Answer:

see below

Step-by-step explanation:

Hi!!

Here's how I found it:

First, I simplified all my equations.

1.12x-6=12x-6

2.12x-6=-12x-6

3.-12x+6=-12x-2

#1 has infinite solutions, given that the equations are identical to eachother. Any value of x will sufice.

#2 can be simplifed with algebra.

Cancel out the -6, since it is on both sides.

we are left with 12x=-12x, which can be solved with the value of 0. This has one solution.

#3 can also be simplifed using algebra.

Cancel out the -12x, since both sides have that.

you are left with:

6=-2

this will never have a solution, therefor, it is no solution.

are these equations equal ?

1. 5x^2 + 15 and 5 (x^2 + 3 )

2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)

Answers

yes.

explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer

hope it helps!

NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

Find the equation of the line passing through the point (-1,0) and parallel to the line
y=-1/2x+3/7

A) y= 2x + 2

B) y = -1/2-1/2

C) y = 1/2x+1/2

D) y = - 1/2x+1/2

Answers

Answer:

B) y= -½x -½

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]y = - \frac{1}{2} x + \frac{3}{7} [/tex]

Slope of given line= -½

Since parallel lines have the same slope, slope of unknown line= -½.

y= -½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -1, y= 0,

[tex]0 = - \frac{1}{2} ( - 1) + c[/tex]

[tex]0 = \frac{1}{2} + c[/tex]

[tex]c = - \frac{1}{2} [/tex]

Thus, the equation of the line is y= -½x -½.

I could use some help answering this math problem!!

Answers

Answer:

b

Step-by-step explanation:

2x is the same as 2 times x and if x represents the coaches uniform and the uniform is 2 times the cost of the players then the answer is b 2x

how do u find the order of operations of 8×3+70÷7-7 ​

Answers

24 + 10 - 7 = 34 - 7 = 27

what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game

Answers

Answer:

In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance

Step-by-step explanation:

 

Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance.

What are the main events in The Westing Game?

The main events in the Westing Game include moving into Sunset Towers, the Halloween dare, the reading of Samuel Westing's will, and the pairing of teams. Finally, the solving of clues and ultimately solving the puzzle.

Who Wins The Westing Game?

Several years after that, Turtle stays with Sandy/Westing (as Eastman) while he really dies. She finally wins the prize and goes to play chess with her niece Alice.

Learn more about the Westing Game here: brainly.com/question/16545687

#SPJ2

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

One oval weighs how much

Answers

Answer:

5.5

Step-by-step explanation:

11 divided by 2 is 5.5

Solve for t. 3t - 18 = 4(-3-3/4t). t=

Answers

Answer:T=1

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

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