How do you verify (sinA-cosA)^2=1-2sin^2AcotA?

1 Answer
Nov 12, 2016

see below

Explanation:

(sinA-cosA)^2=1-2sin^2AcotA

(sinA-cosA)(sinA-cosA)=1-2sin^2A*cosA/sinA

sin^2A-2sinAcosA+cos^2A=1-2sin^cancel2AcosA/cancelsinA

sin^2A+cos^2A-2sinAcosA=1- 2 sinA cos A

1-2 sin A cos A=1- 2 sinA cos A

:.Left Hand Side = Right Hand Side