The number of solutions of $\sin ^7 x+\cos ^7 x=1, x \in[0,4 \pi]$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The number of solutions of

\sin ^7 x+\cos ^7 x=1, x \in[0,4 \pi]

View answer and explanation

Correct option: C

Option C (5) is correct because we need to find the values of x in the interval

[0, 4\pi]

for which

\sin^7 x + \cos^7 x = 1

, which occurs when either

\sin x = 0

and

\cos x = 1

\sin x = 1

and

\cos x = 0

Practice All Chapter MCQs →

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\mathrm{X}

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\tan x