Simplify the expression: (1−sinx)(1+sinx).
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Correct answer: D
Explanation
Given:
(1 − sinx)(1 + sinx)
According to the formula:
(a − b)(a + b) = a² − b²
sin²x + cos²x = 1
(1 − sinx)(1 + sinx)
= 1² − (sinx)²
= 1 − sin²x
= cos²x