Question 512 Marks
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
View full question & answer→$\sec^2\theta(1+\sin\theta)(1-\sin\theta)$$=\sec^2\theta\big(1-\sin^2\theta\big)$
$=\sec^2\theta\times\cos^2\theta$
$=\frac{1}{\cos^2\theta}\times\cos^2\theta$
$=1$
$=\sec^2\theta\times\cos^2\theta$
$=\frac{1}{\cos^2\theta}\times\cos^2\theta$
$=1$