Give an exact answer

Question

If sec (𝜃) = −5/3 and 𝜃 is in quadrant 2. Find tan(𝜃)and sin(𝜃). Give an exact answer (no decimals).

Answer 1

sec(theta) = 1/cos(theta) = -5/3

cos(theta) = -3/5

It's a 3-4-5 right triangle so

sin(theta) = 4/5

tan(theta) = -4/3