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Q) Evaluate 2sec2 θ + 3 cosec2 θ – 2 sin θ cos θ if θ = 450.

Ans: Since θ = 450, sec 450 = √2, cosec 450 = √2, sin 450 = Evaluate 2sec^2 θ + 3 cosec^2; cos 450 = Evaluate 2sec^2 θ + 3 cosec^2

2sec2 θ + 3 cosec2 θ – 2 sin θ cos θ

= 2 (√2)2  + 3 (√2)2 – 2 Evaluate 2sec^2 θ + 3 cosec^2

= 4 + 6 – 1 = 9

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