Question

if sin theta + cos theta =root 2 cos theta ,show that cot theta =root 2+1

Answer 1

heyy !! its me Nishant
solution:

$sinx + cosx = \sqrt{2} cosx\\ sinx = cosx( \sqrt{2} - 1) \\ cosx = \frac{sinx}{ \sqrt{2} - 1} \times \frac{ \sqrt{2} + 1}{ \sqrt{2} + 1 } \\ cosx = sinx( \sqrt{2} + 1)$
hope it help

Answer 2

Hope the above answer helps , Didn't explain much just went for the answer. If u knew the basics u will be understand straight away.

Cheers :)