Question

If sin theta + cos theta = root2 sin (90-theta). find cot theta

Answer 1

sin theta+cos theta=root2cos theta
as,sin(90-theta)=cos theta
sin theta=root2cos theta-cos theta
sin theta=cos theta(root2-1)....eq1
cot theta=cos theta/sin theta..
so cot theta=cos theta/cos theta(root2-1)...from eq 1...
=1/root2-1..=1/1.4-1..=1/0.4=5/2ans

Answer 2

sin theta+cos theta=root2cos theta

as,sin(90-theta)=cos theta

sin theta=root2cos theta-cos theta

sin theta=cos theta(root2-1)....eq1

cot theta=cos theta/sin theta..

so cot theta=cos theta/cos theta(root2-1)...from eq 1...

=1/root2-1..=1/1.4-1..=1/0.4

=5/2