Question

prove the following
${(1 + \tan(a) \times \tan(b)) }^{2} + {( \tan(a) - \tan(b) ) }^{2} = { sec}^{2} a \times { sec }^{2} b$
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Answer 1

Refer the attachment.

Identity used:

sec^2 Ø = tan^2 Ø + 1

Answer 2

hop it helps you.......