Question

What is the value of k if sec²theta (1+sin theta) (1-sin theta)=k?

Answer 1

Hey!!!

Here is your answer_________

k = (sec^2theta)(1+sin theta)(1-sin theta)

we have,
(a+b)(a-b) = a^2 - b^2

k =(sec^2theta)(1-sin^2 theta)

but we know (1-sin^2 theta) = cos^2 theta

k =(sec^2 theta)(cos^2 theta)

we know that,
(sec theta) =( 1/cos theta)

k =(1/cos^2 theta)(cos^2 theta)

k = 1


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Hope this answer will help u.....