True or false : (tan theta + 2)(2 tan theta + 1) = 5 tan theta + sec^2 theta. Also justify
Answers
Answered by
14
it is false, 5tan theta +2sec square theta
Answered by
18
Given Equation is :
= > (tan theta + 2)(2 tan theta + 1)
= > (2tan^2 theta + tantheta + 4tantheta + 2)
= > (2(sec^2theta - 1) + 5tantheta + 2)
= > (2sec^2 theta - 2 + 5tantheta + 2)
= > (2sec^2theta + 5tantheta).
Therefore the final answer will be 2sec^2theta + 5tantheta.
Hope this helps!
= > (tan theta + 2)(2 tan theta + 1)
= > (2tan^2 theta + tantheta + 4tantheta + 2)
= > (2(sec^2theta - 1) + 5tantheta + 2)
= > (2sec^2 theta - 2 + 5tantheta + 2)
= > (2sec^2theta + 5tantheta).
Therefore the final answer will be 2sec^2theta + 5tantheta.
Hope this helps!
siddhartharao77:
:-)
Similar questions