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The number of solutions of \( \sin ^{7} x+\cos ^{7} x=1 \), \( x \in[0,4 \pi] \) is equal to [JEE Main 2021, 22 Jul (Shi…

Q1

The number of solutions of \( \sin ^{7} x+\cos ^{7} x=1 \), \( x \in[0,4 \pi] \) is equal to

[JEE Main 2021, 22 Jul (Shift 2)]

a

\( 11 \)

b

\( 7 \)

c

\( 5 \)

d

\( 9 \)

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