SOLUTION: Hi tutor, Can you help me prove the following trig identity: Prove that sin ^2(x)+tan ^2(x)=sec^2(x)-cos^2(x) Thanks

SOLUTION: Hi tutor, Can you help me prove the following trig identity: Prove that sin ^2(x)+tan ^2(x)=sec^2(x)-cos^2(x) Thanks

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Question 815252: Hi tutor,
Can you help me prove the following trig identity:
Prove that sin ^2(x)+tan ^2(x)=sec^2(x)-cos^2(x)
Thanks
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
sin ^2(x)+tan ^2(x)=sec^2(x)-cos^2(x)
sin^2x = 1-cos^2x
tan^2x=sec^2x-1
LHS
sin ^2(x)+tan ^2(x)
substitute
1-cos^2x+sec^2x-1
=sec^2x-cos^2x
=RHS

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