Question

Prove that (1+tan²A)Cos²A=1
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Answer 1

Please refer the attachment

Answer 2

Step-by-step explanation:

(1+tan^2A)Cos^2A=1

LHS :- (1+tan^2A)Cos^2A

=1+Sin^2A/Cos^A x Cos^2A

Now do cross multiple between 1+Sin^2A/Cos^2A

=Cos^2A+Sin^2A/Cos^2A x Cos^2A

Now Cos^A Cos^2A get canceled

Then remain is

=Cos^2A+Sin^2A

=1 ............(Sin^2theta+Cos^2theta=1)

Therefore

L. H. S=R.H.S