Q10 of 80 Page 311

If 0° < θ < 90°, then let us calculate the least value of (9 tan2 θ + 4 cot2 θ).

Let θ = 45


⇒ (9tan2θ + 4cot2θ) [tan45 = 1, cot45 = 1]


⇒ 9 + 4


= 13


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