If sin θ + cosec θ = 7, then what is the value of $ sin^3θ + cosec ^3 θ $ ?

350 382 322 367

322

sin θ + cosec θ = 7 sin θ + \(\frac{1}{sin θ}\)= 7 Using , { if x + \(\frac{1}{x}\) = a , then x³ + \(\frac{1}{x³ }\) = a³ - 3a } So, sin³  θ  + \(\frac{1}{sin³  θ}\) = 7³  - 21 = 322