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What is the value of (1 + cot2θ)(1 - cos2θ).
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& \left( {1 + {{\cot }^2}\theta } \right)\left( {1 - {{\cos }^2}\theta } \right) \cr
& = \left( {1 + \frac{{{{\cos }^2}\theta }}{{{{\sin }^2}\theta }}} \right){\sin ^2}\theta \cr
& = \left( {\frac{{{{\sin }^2}\theta + {{\cos }^2}\theta }}{{{{\sin }^2}\theta }}} \right){\sin ^2}\theta \cr
& = 1 \cr} $$
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