Find the exact value of the trigonometric function

2  

Step-by-step explanation:

Step 1. Find a coterminal angle that falls be 0 and 2π.

Remember that cscθ is a periodic function. It repeats every 2π radians.

If n is an integer, cscθ = csc(θ ± 2πn)

csc(17π/6) = csc(12π/6 + 5π/6)

                = csc(2π + 5π/6)

                = csc(5π/6)

Step 2. Use the unit circle to evaluate cscθ.

cscθ = 1/sinθ

Let θ = 5π/6

In a unit circle (below), the sine of an angle is y.

sinθ = ½

cscθ = 1/sinθ

        = 1/(½)

        = 2

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step-by-step explanation:

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