The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?

A. 5/12
B. -12/13
C. -5/12
D. 12/13

Answers

Answer 1

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Answer 2

Option B is correct.

Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

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Related Questions

7/12+1/3 show your work and how you got your answer

Answers

Answer:

11/12

Step-by-step explanation:

find the lcm of 12 and 3 which is 12.

find a common factor in 12 and 3 and use those factors to multiply with their numerators.

7 * 1 and 1*4 =11

while the denominator or the lcm is 12

thus 11/12

Find the number of red marbles in a bag containing 54 total red and green marbles, if the ratio of green to red is 4 : 2.

Answers

Answer:

36 red marbles.

Step-by-step explanation:

all you need to do is multiply the ratio  until you get the right number.

whats the equation ??

Answers

Answer:

the equation is 10 + -3x = y

please help asap will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X = 1.6

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Bob and chris share some money in the ratio 2:3.
Bob receives £8
Work ouy how much Chris receives.​

Answers

Answer:

Chris will receive 4 euros

Answer:

12

Step-by-step explanation:

Juan Carlos tiene 450 teléfonos móviles cada uno cuesta 30$y vienen 2 personas las 2 personas compran 3 teléfonos ¿cuantos dolares pagaron las 2personas?

Answers

Answer:

$90

Step-by-step explanation:

Given that:

Number of mobile phones = 450

Cost per mobile phone = $30

Number of mobile phones purchased = 3

The total cost of 3 mobile phones = amount paid remaining :

(Cost per mobile phone * number of mobile phones purchased)

= $30 * 3

= $90

I NEED HELP WITH THIS MATH

Answers

Answer:

g(x) = - 3  ;   x = 3

p(x) = - 5  ;   x = -3, -9

f(x) = 5  ;  x = 3, 5  

PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

Select the correct answer.
Select the function that defines the given sequence.

-11, -8, -5, -2, 1, . . .

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

Given sequence:

-11, -8, -5, -2, 1, . . .

This is an AP with first term of - 11 and common difference of 3

As an AP it is linear function with points

(1, -11), (2, -8), ...

We can define slope as m = 3 and y-intercept as (0, -14) so the function is:

f(x) = 3x - 14

i need this pls

-15w(w+15)

Answers

Answer:

−15w2−225w hope this helped

the quotient of a number y and -3.6 is less than 6.5

(written as an inequality)

Answers

Answer:

[tex]\frac{y}{-3.6}[/tex] < 6.5

ann invested 9000 in an account that

Answers

what do you need to know ???!??
Are you gonna finish orrr

In a certain card game, for every 444 blue cards, there are 333 yellow cards. There are a total of 848484 blue and yellow cards in the game. How many blue cards are in the game?

Answers

Answer: There are 48 blue cards in the game.

Step-by-step explanation:

Given: In a certain card game, for every 4 blue cards, there are 3 yellow cards.

Total cards = 4+3 = 7

There are a total of 84 blue and yellow cards in the game.

Number of blue cards = [tex]\dfrac{4}{7}\times 84=4\times12 = 48[/tex]

Hence, there are 48 blue cards in the game.

Answer:

48

Step-by-step explanation:

BE YOU YOU IS THE BEAST YOU

Hurryyyy I’m giving brainliest

Solve for y.
12 = 3y

Answers

Answer:

4

Step-by-step explanation:

3y=12  divide both sides by 3

y=4

Answer:

y = 4

Step-by-step explanation:

12 = 3(4)

12 = 12

make 24 using 15,15,9,6

Answers

15+15 -6 = 24
Hope this helps

Answer:

24 = (9 * 6) - (15 + 15)

Step-by-step explanation:

Equation = (9 * 6) - (15 + 15)

Follow PEMDAS which in this case multiply 9 x 6

= 54 - (15+15)

Now you need to add the numbers that are in the parenthesis

= 54 - 30

= 24

Hope this helps!

Whats 22^4 - 2 2/4

Brainlest

Pls helppp

Answers

Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

Cuanto es 15 más 15 multiplicado por 2

Answers

Answer:

60

Step-by-step explanation:

what is the answer to this equation |x + 1| = 6

Answers

wait homfdgjhgbjhfb

Find three consecutive integers such that 3 times the first added to the last is 22.

Answers

Answer:

5,6,7

Step-by-step explanation:

consetive integers are 1 apart

they are

x,x+1,x+2

3 times the first added to the last is 22

3x+x+2=22

combine like terms

4x+2=22

minus 2 both sides

4x=20

divide both sides by 4

x=5

x+1=6

x+2=7

the numbers are 5,6,7

Answer:

5,6,7

Step-by-step explanation:

hope this helps :)

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 67^\circ67

67, degrees.
What is the measure of \angle b∠bangle, b?

Answers

Answer:

Assuming the question is asking for angle B, it measures 23°

Step-by-step explanation:

If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.

angle A + angle B = 90°

67° + Angle B = 90°

Angle B = 23°

Answer:

68

Step-by-step explanation:

right on khan

Besed
2
Which point on the number line represents 4?
0
B
D
to
Ο Α
ОВ
с
OD
Sorry if you don’t understand the words I will put a picture

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

good luck

SYSTEM:
log base root3 of (x-y) = 2

log base 4 of x - log base x of y = 7/6

Answers

Answer:

Step-by-step explanation:

SYSTEM:

log base root3 of (x-y) = 2 .... 1

log base 4 of x - log base x of y =7/6...2

From equation 1:

x-y = (√3)²

x - y = 3 ..... 3

From equation 2:

log base 4 of x - log base x of y =7/6

-log base x of 4 - log base x of y = 7/6

log base x of 4^-1 - log base x of y = 7/6

log base x of (1/4) - log base x of y = 7/6

According to law of logarithm

Log base x {1/4 ÷ y} = 7/6

x^7/6 = 1/4y .... 2

From 1, y = x-3

x^7/6 =1/4(x-3)

x^7/6 = 1/(4x-12)

x^7/6(4x-12) = 1

From

Which expression is equivalent to the expression 22 – 10 – 7.5?

Answers

Answer:

24.5-9-6

Step-by-step explanation:

Answer:

Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence

Step-by-step explanation:

Find the value of c.

Answers

yeah, it is 16, the way they worked it out is correct also

Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pieces, how many apple pieces would she have?

Answers

Answer:

2 times 13 is 26 and 26 times 8 is 206

Step-by-step explanation:

a satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 ½ days​

Answers

Answer:

26.

Step-by-step explanation:

1 day/24 hours, makes 4 revolutions.

4 x 6 = 24,

1/2 of 4 = 2.

24+2 = 26.

26 revolutions, if my answer is wrong someone please correct me.

What is the completely factored form of this polynomial? 4x4+12x2+9

Answers

When it says 4x4 and 12x2 does that mean it’s squared or multiplied by those?

Can y’all help me on this please

Answers

Answer:

588,499

Step-by-step explanation:

you just divide

(-4b3 + b – 1) + (6b – 6) =

Answers

Answer:

7 B - 50

Step-by-step explanation:

Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4

Answers

Answer:

2.25 np

Step-by-step explanation:

Cost of one foot lace is $2.25

Given that;

Cost of one foot lace = $3

Find:

Cost of 3/4 foot lace

Computation:

Cost of 3/4 foot lace = [3/4][Cost of one foot lace]

Cost of one foot lace = [3/4][3]

Cost of one foot lace = 9/4

Cost of one foot lace = $2.25

Learn more:

https://brainly.com/question/20606949?referrer=searchResults

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