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Prove that sec2θ+cosec2θ can never be less than 2.
Ans: S.T Sec2θ + Cosec2θ can never be less than 2.
If possible let it be less than 2.
1 + Tan2θ + 1 + Cot2θ < 2.
⇒ 2 + Tan2θ + Cot2θ
⇒ (Tanθ + Cotθ)2 < 2.
Which is not possible.
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
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