Question

sinx+cosx=√2 cosx then find cotx

Answer 1

this is helpful to u...if any problem,can ask

Answer 2

Here is your answer
Divide by sinx we get
$sinx \div sinx + cosx \div sinx = \sqrt{2} cosx \div sinx \\ 1 + cotx = \sqrt{2} cotx \\ \sqrt{2} cotx - cotx = 1 \\ cotx( \sqrt{2} - 1) = 1 \\ cotx = 1 \div ( \sqrt{2} - 1)$
Hope it helps you