I have no idea how to solve this

Question

Let , −3−2

 be a point on the terminal side of θ

.Find the exact values of sinθ

, cscθ

, and cotθ

Answer 1

Draw and label a diagram!

x = -2

y = -3

h = √13 By Pythagoras

sin θ = y / h, -3 / √13

csc θ = h / y, √13 / -3

tan θ = y / x, -3 / -2

cot θ = x / y, -2 / -3

Answer 2

Hi Huzaifa J.,

With (-3, -2) on the terminal side:

tan(θ) = y/x = -2/-3 = 2/3

Therefore:

θ = tan^-1(2/3) = 33.69^o or 0.588 radians.

With this value for θ, you can use your calculator to find the remaining values for:

sin(θ),

csc(θ) = 1/sin(θ),

cot(θ) = 1/tan(θ).

I hope this helps, Joe.