Question

Prove that 9 sec^2 theta - 5 tan^2 theta = 5 - 4 sec^2 theta

Answer 1

Proof :

Now, 9 sec²θ - 5 tan²θ

= 9 sec²θ - 5 (sec²θ - 1),

since sec²θ - tan²θ = 1

= 9 sec²θ - 5 sec²θ + 5

= 4 sec²θ + 5

Hence, proved.

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Answer 2

hope that its understandable