SOLUTION: Prove That: (tan^2 A + 1)Cos2A= 2-Sec^2A

SOLUTION: Prove That: (tan^2 A + 1)Cos2A= 2-Sec^2A

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Question 1053349: Prove That:
(tan^2 A + 1)Cos2A= 2-Sec^2A
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

(tan^2 A + 1)Cos2A= 2-Sec^2A

(tan^2A+1)(cos^2A-sin^2A)

sec^2A *(cos^2A-(1-cos^2A)

sec^2A *(cos^2A-1+cos^2A)

1/cos^2A *2cos^2A -1/cos^2A

=2-sec^2A

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