(c) `(sinA-cosA)^2+(cosA+sinA)^2=`

(sinA+cosA)^2+(sinA-cosA)^2=

Given 5 cos A - 12 sin A = 0 , evaluate : (sinA+cosA)/(2 cosA-sinA)

cosA/(1−sinA) =

Simplify : sinA[(sinA,-cosA),(cosA, sinA)]+cosA[(cosA,sinA),(-sinA, cosA)] .

Prove that (1+sinA-cosA)^2+(1-sinA+cosA)^2=4(1-sinA.cosA)

Prove that : (sinA+cosA)^(2)+(sinA-cosA)^(2)=2

Prove that: cotA/2-tanA/2=(cosA/2)/(sinA/2)-(sinA/2)/(cosA/2) =(cos^(2)A/2-sin^(2)A/2)/(sinA/2cosA/2) =cosA/(1/2.(2sinA/2cosA/2)) =(2cosA)/(sinA)=2cotA = RHS. Hence Proved.

Prove the following identities: (sinA+cosA)/(sinA-cosA)+(sinA-cosA)/(sinA+cosA)=2/(sin^2A-cos^2A)=2/(2sin^2A-1)=2/(1-2cos^2A)

Prove that (1+sin2A)/(cos2A)=(cosA+sinA)/(cosA-sinA)=tan((pi)/(4)+A)

Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A