Use basic identities to simplify the expression. one divided by cotangent of theta to the second power. + sec θ cos θ

(1 / cot²θ) + secθ cosθ 

(1 / cotθ) == tanθ

Therefore

tan²θ + secθ cosθ

secθ == (1 / cos θ)

Therefore

tan²θ + (1 / cosθ) cosθ

The cosθ 's cancel out

Therefore

tan²θ + 1

tan²θ + 1 == sec²θ

Therefore

sec²θ is the simplified answer

The answer is "a"radius = 12.7 unitsdiameter = radius × 212.7 units × 2 = 25.4 units

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