Question

Parabola

Answer 1

9514 1404 393

Answer:

• sin(θ) = (9√97)/97
• cos(θ) = (-4√97)/97
• csc(θ) = (√97)/9
• sec(θ) = (-√97)/4
• cot(θ) = -4/9

Step-by-step explanation:

The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.

tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16   ⇒   sec = -(1/4)√97

cot(θ) = 1/tan(θ) = -4/9

csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81   ⇒   csc = (1/9)√97

sin(θ) = 1/csc(θ) = (9√97)/97

cos(θ) = 1/sec(θ) = (-4√97)/97