Question

Prove that tan square a + cot square a + 2 is equal to sec square a into cos square a

Answer 1

Answer:

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Step-by-step explanation:

we have

L.H.S= tan^2(a)+cot^2(a)+2

= {1+tan^2 (a)}+{1+cot^2 (a)}

=sec^2 (a) + cosec^2 (a)

= 1/cos^2 (a) + 1/sin^2 (a)

=[sin^2 (a)+cos^2 (a)]/{cos^2 (a)×sin^2 (a)} = 1/{cos^2 (a) × sin^2 (a)}=sec^2 (a)×cosec^2 (a) = R.H.S

Hence, proved....

Thank you!!!