# trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

1. 👍
2. 👎
3. 👁
1. make a sketch of your triangle
since sinØ = opposite /hypotenuse = 5/13
opposite = 5 and hypotenuse = 13
by Pythagoras:
x^2 + 5^2 = 13^2
x^2 +25 = 169
x^2 = 144
x = ± 12 , but in quadrant II, x = - 12

sinØ = 5/13 , cscØ = 13/5
cosØ = -12/13 , secØ = - 13/12
tanØ = 5/-12 = -5/12 , cot Ø = -12/5

1. 👍
2. 👎
2. 6 6-6sin(0=?

1. 👍
2. 👎

## Similar Questions

1. ### Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta)

2. ### Maths: Partial Differentiation

1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x. 2) If z = sin theta.sin phi.sin gamma, and z is calculated for the values theta = 30degrees, phi = 45

3. ### math

Let theta be an angle in quadrant IV such that sin(theta)=-(2)/(5). Find the exact values of sec(theta) and tan(theta).

4. ### calculus

let theta be an angle of quadrant IV such that sin theta = -8/9 find the exact value of sec theta and cot theta?

1. ### Trigonometry

State the quadrant in which theta lies. sin(theta) > 0 and cos(theta) > 0 How can I determine this? Please explain.

2. ### trig

Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).

3. ### Pre-Calculus-check answers

If cos theta = 0.8 and 270

4. ### Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the

1. ### Precalculus

Which of the following are trigonometric identities? Select all that apply (there are 3 answers). A cos^2(theta)=sin^2(theta)-1 B sin(theta)=1/csc(theta) C sec(theta)=1/cot(theta) D cot(theta)=cos/sin(theta) E

2. ### trig

write sec theta in terms of sin theta when theta lies in quadrant III

3. ### Precalculus check answers help!

1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.)

4. ### Math Trig

Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!!