Question : Simplify the following:
$\mathrm{(1+cot^2\theta)(1-cos\theta)(1+cos\theta)}$
Option 1: 1
Option 2: –5
Option 3: 3
Option 4: –3
Answer (1)
24th Jan, 2024
Correct Answer: 1
Solution :
$\mathrm{(1+cot^2\theta)(1-cos\theta)(1+cos\theta)}$
$=\mathrm{(1+cot^2\theta)(1-cos^2\theta)}$
$=\mathrm{(cosec^2\theta)(sin^2\theta)}$
$=1$
Hence, the correct answer is 1.
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