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Problem 5 - Entrance Test
Simplify the expression (1 - sin²θ) / cos²θ.
A. tan²θ
B. cot²θ
C. 1
D. sin²θ
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Correct: C
We use the identity sin²θ + cos²θ = 1, which can be rearranged to 1 - sin²θ = cos²θ. Substitute this into the numerator of the expression: (cos²θ) / cos²θ. This simplifies to 1.