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Q.

The number of solutions of sin7x+cos7x=1  , x[0,4π] is

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a

11

b

7

c

9

d

5

answer is C.

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Detailed Solution

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sin7x+cos7x=1  is possible when  sinx=0,cosx=1x=0,2π,4πor  sinx=1,cosx=0x=π2,5π2

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The number of solutions of sin7x+cos7x=1  , x∈[0,4π] is