JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

Total number of solutions of

\tan x+\cot x=2 \operatorname{cosec} x

[-2 \pi, 2 \pi]

View answer and explanation

Correct option: C

Option B (

\frac{{3 \pi}}{{2}}

) is correct because the equation has at least one solution only if

\sin(ax+b) = -1

when

x=1

, leading to

a+b = \frac{{3\pi}}{{2}}

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