Prove that (1-sin square A) (1+tan square A)=1
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Answered by
11
♠ ANSWER :
L. H. S. = ( 1 - sin² A ) ( 1 + tan ² A )
= ( cos² A )( Sec ² A )
Using identity [ sin² A + cos ² A = 1 ]
[ Sec² A = 1 + tan ² A ]
= cos² A * 1 / Cos ²A
= 1
= R. H. S.
L. H. S. = ( 1 - sin² A ) ( 1 + tan ² A )
= ( cos² A )( Sec ² A )
Using identity [ sin² A + cos ² A = 1 ]
[ Sec² A = 1 + tan ² A ]
= cos² A * 1 / Cos ²A
= 1
= R. H. S.
Answered by
0
answer is 1
Step-by-step explanation:
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