229k views
0 votes
Verify the identity: (1 -sinx) / cosx = cosx / (1 +sinx)

User Ibnhamza
by
7.2k points

1 Answer

7 votes

(1-\sin x)/(\cos x)=(\cos x)/(1+\sin x)\\ \cos^2 x=(1-\sin x)(1+\sin x)\\ \cos^2 x=1-\sin^2 x\\ \sin^2 x+\cos ^2 x=1

It IS the identity.
User MmmHmm
by
7.4k points