Question

When is an equation called an identity. Prove the trignometric identity 1+tan^2A=sec^2A

Answer 1

L.H.S.
1+tan²A
1+sec²A-1
sec²A prove it.

Answer 2

tanA=perpendicular/base
secA=hypotenuse/base
1+tan^2
1+p^2/b^2
b^2+p^2/b^2
h^2/b^2
sec^2
hence proved
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