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Questions  

Number of values of x lying in the interval [0, 5π] and satisfying the equation sinx=tanx is. 

a
5
b
6
c
9
d
12

detailed solution

Correct option is B

sin⁡x=tan⁡x⇒sin⁡x(cos⁡x−1)=0⇒ sin⁡x=0 or cos⁡x=1 However when , cos⁡x=1, then sin⁡x=0∴sin⁡x=0⇒x=0,π,2π,3π,4π,5π

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