1.

If tan θ + cot θ = x and cos θ + sin θ = y, then the value of (x(y2 - 1))2 is1). 12). 23). 34). 4

Answer»

tan θ + COT θ = x

x = (sinθ/cosθ) + (cosθ/sinθ) = (sin2θ + cos2θ)/sinθ cosθ = 1/sinθ cosθ

cos θ + sin θ = y

y2 = cos2θ + sin2θ + 2sinθ cosθ

y2 – 1 = 2 sinθ cosθ

(x(y2 – 1))2 = ((1/sinθ cosθ) × 2 sinθ cosθ)2 = 4


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