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Use the trigonometric identities to simplify the expression: 1/csc^2(theta)+cos(theta)sin(pi/2-theta)

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MathPhys

Answer:

1

Step-by-step explanation:

(1 / csc²θ) + cos θ sin(π/2 − θ)

From angle reflection formula, sin(π/2 − θ) = cos θ.

(1 / csc²θ) + cos²θ

From definition, 1 / csc θ = sin θ.

sin²θ + cos²θ

From Pythagorean identity, sin²θ + cos²θ = 1.

1

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