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If sinθ - cosec θ = 7 , find the value of sin3θ - cosec3θ . |
281 364 385 343 |
364 |
Formula I → [ cosecθ = \(\frac{1}{sinθ}\)] Formula II → [If x - \(\frac{1}{x}\) = n and x3 - \(\frac{1}{x^3}\) = n3 + 3n] sinθ - \(\frac{1}{sinθ}\) = 7 ⇒ sin3θ - \(\frac{1}{sin^3θ}\) = (7)3 + 3 × 7 ⇒ sin3θ - cosec3θ = 343 + 21 = 364 |
