Prove that:
sin^2 α. sec^2 β + tan^2 β. cos^2 α = sin^2α + tan^2  β

Answer:




    To prove this Trigonometric identity, we need to understand that alpha and beta are not equal to each other unless they are said they are equal!

    Now, first step we do is we change the given terms into sin and cos

    Where,

    Sec x = 1/ cos x
    Tan x= sin x/ cos x

    After this, take LCM, perform the operations and then take common ,cancel the equal terms of the denominator and numerator, if any. And then prove the LHS and RHS as shown in the image.

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