If `sintheta-costheta=1`, then the value of `sin^3theta-cos^3theta` is – InterviewSolution

InterviewSolution

1.	If `sintheta-costheta=1`, then the value of `sin^3theta-cos^3theta` is __________ .
Answer» Correct Answer - 1 `sintheta-costheta=1` `orsin^2theta+cos^2theta-2sinthetacostheta=1` `or sinthetacostheta=0` Now `sin^3theta-cos^3theta=1(sin^2thta+cos^2theta+sinthetacostheta)` `=(sintheta-costheta)^2+3sinthetacostheta` `=1+3sinthetacostheta=1`

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