Question
Very-short and Short-Answer Questions.
Write the value of $\sec^2\theta(1+\sin\theta)(1-\sin\theta).$
Write the value of $\sec^2\theta(1+\sin\theta)(1-\sin\theta).$
✓
Answer
$\sec^2\theta(1+\sin\theta)(1-\sin\theta)$$=\sec^2\theta\big(1-\sin^2\theta\big)$
$=\sec^2\theta\times\cos^2\theta$
$=\frac{1}{\cos^2\theta}\times\cos^2\theta$
$=1$
$=\sec^2\theta\times\cos^2\theta$
$=\frac{1}{\cos^2\theta}\times\cos^2\theta$
$=1$
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