1+secx/secx = sin^2x/1-cos x
Prove LHS=RHS
Answers
Step-by-step explanation:
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Answer:
(1+ sec x) / sec x = (sin^2 x) / (1 - cos x) [ sin^2 x = 1 - cos^2 x]
(1+ sec x) / sec x = ( 1 - cos^2 x) / (1 - cos x)
(1+ sec x) / sec x = (1 + cos x) (1 - cos x ) / ( 1 - cos x) [ a^2 - b^2 = (a+b) (a-b)]
will be canceled
(1+ sec x) / sec x = (1 + cos x)
(1+ sec x) = sec x +(cos x ) (sex x)
will be canceled [cos x = 1/sec x]
1 + sec x = sec x + 1
===> LHS = RHS
hence proved.....
I hope it will help.....