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

i have 9 animals 3 are girls what percent is girls?

Answers

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do

Answers

Answer:

5x-2x-x = 10 9z • 7p = 378

Step-by-step explanation:

With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.

1. 5x-2x-x

2. (5•5)-(2•5)-(1•5)

3. 25-10-5

4. 10

We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.

1. 9z•7p

2. (9•2) • (7•3)

3. 18 • 21

4. 378

hope this helps :)

AHHHHHH HELP PLEASE
[tex]3.25 \div \sqrt{24} [/tex]

Answers

The answer is 0.66340347

Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x

Answers

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

evaluate 2x+y for x=1/3 and y=2/3

a.1/3
b.2/3
c.4/3
d.5/3

Answers

Answer:

C. 4/3

Step-by-step explanation:

2 × ⅓ + ⅔

⅔ + ⅔ = 4/3

Use X as ⅓, and use Y as ⅔.

solve pls brainliest

Answers

Answer:

yes

Step-by-step explanation: brainly

6.4 divided by 43.52

Answers

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

can somebody please tell me if this is correct or not​

Answers

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

Answer: Looks precise

Step-by-step explanation:

mr polaski bought a variety pack of muffins that has 9 apple muffins. the ratio of apple muffins to blueberry muffins in variety pack is 3:5 . how many blueberry muffins are in ms polaski's variety pack?

Answers

Answer:

He has 15 Blueberry Muffins

Step-by-step explanation:

If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.

Simplify this expression.
2V5(13 +V2)

Answers

Answer:

26V^5+2V^7

Step-by-step explanation:

6 quarts = __ fluid ounces. Explanation

Answers

Answer:

192

Step-by-step explanation:

You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?

Answers

Answer:

$54 = 71%, $22 = 29%

Step-by-step explanation:

54+22=76

54/76 = 0.7105

22/76 = 0.2894

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).

Answers

The expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Give two integers A and B, according to the commutative law of addition;

A + B = B+ A

The arrangement of the integers does not affect the sum.

Given the expression (-1+3i) + (18+5i)

The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:

(-1+3i) + (18+5i)

-1 + 3i + 18 + 5i

(-1 + 18) + (3i + 5i)

We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Learn more on commutative property here: https://brainly.com/question/778086

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers

Answers

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.​

Answers

Answer:

625

Step-by-step explanation:

Let the digits be:

abcd

Each of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

5*5*5*5 = 625
The right answer is 120. Let abcd represent the numbers. The number have to be different meaning no repeats so that would mean:
a has 5 choices of numbers
b had 4
c has 3
d has 2
So the equation would be 5x4x3x2 = 120

i need help with this question, thx to anyone who helps! :)

Answers

Answer:

Golf balls

Step-by-step explanation:

There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)

Eric has to read a 250-page novel by Friday. With four days left until Friday, he has read 110 pages of the novel. What percentage of the pages does Eric still have to read?

Answers

Answer:

56% left of the book

Answer:

56 %

Step-by-step explanation: There are two ways to arrive at the answer.

1st Way: 110/250 = 0.44

0.44 * 100 = 44%

44% is the amount he has read and we are looking for the amount that is left to read.

So we know 100% is the maximum percentage.

We then subtract 44 from 100 which is 56, So 56 is the answer.

2nd Way: 250-110 = 140

140/250=0.56

0.56*100= 56%

Hope this helps.

expand and simplify (m+7) (m+3)

Answers

Answer:

m^2+10m+21

Step-by-step explanation:

Distribute:

m times m is m^2

m times 3 is 3m

7 times m is 7m

7 times 3 is 21

=> m^2+3m+7m+21

Add 3m and 7m

=> m^2+10m+21

Thus the equation is

m^2+10m+21

Hope this helps!

(m + 7)(m + 3)

= m(m + 3) + 7(m + 3)

= m² + 3m + 7m + 21

= m² + 10m + 21

____

Hope it helps ⚜


Help me I don’t know if it -7 and -12

Answers

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

X < -7

Explain:


help i dont know how to do this !!!!!!!!!!!! for brainlist

Answers

Answer:

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

x=2

D (last answer choice)

plug x=2 in and check and you will get 4096=4096

can someone help with this ​

Answers

Answer:

B and C

Step-by-step explanation:

Plzz help Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.

Answers

Answer:

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

Step-by-step explanation:

a wall that is 1.4m long has started lean and makes an angle of 80’o with the ground. A 2.0m board is jammed between the top of the wall and the ground to help prop the walk up. What angle does the board make with the
ground?

Answers

well i see that 1x 1 is 2 so that’s your answer!!!!!!!!!

Find the value of x when 6-2x =5x-9x+16The value of x is

Answers

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5


Ok done. Thank to me :>

can you identify the value of each digit ? ​

Answers

Answer:WHAT VALUE AND WHAT DIGIT

Step-by-step explanation:

Make x the subject of the formula,
y (x-4) squared +6

Answers

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

Assuming the equation is:  y= (x-4)^2 + 6

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

The side lengths of a triangle are 12, 14, and x units

Answers

Answer: x=14

Step-by-step explanation: have a good day

how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.

Answers

50% decimal places hope it helps

Which table of values would produce the graph shown above?

Answers

The answer to your question is B.

Answer plz school is stressful

Answers

the answer is 1 month

Answer:

1 month.

Step-by-step explanation:

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

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