Example 19. Prove the following identity:sec" Î¸-tan – InterviewSolution

1.	Example 19. Prove the following identity:sec" Î¸-tan
Answer» LHS= (sec^2)^3-(tan^2)^3= (sec^2-tan^2)^3+3sec^2*tan^2 (sec^2-tan^2)= (1)^3+3 (1+tan^2x)tan^2x (1)(sec^2x-tan^2x)=1=1+3 (tan^2x+tan^4x)=1+3tan^2x+3tan^4x=RHS

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