If and , then , where , , and are independent of . The value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

\sin\theta+\cos\theta=a

and

\sin^3\theta+\cos^3\theta=b

, then

\lambda a^3+\mu b+\nu a=0

, where

\lambda

,

\mu

, and

\nu

are independent of

\theta

. The value of

\lambda^3+\mu^3+\nu^3

is (1) -6 (2) -18 (3) -36 (4) -98

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