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Number of solutions of the equation $\tan x + \sec x = 2 \cos x$ in the interval $[0, 2 π]$ is

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detailed solution

Correct option is C

sinx+1cosx=2cosx (cosx≠0)⇒2sin2x+sinx−1=0⇒(2sinx−1)(sinx+1)=0, ⇒sinx=12but sinx+1≠0 ∵cosx≠0)⇒x=π6,5π6 in [0,2π]

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Number of solutions of the equation tanx+secx=2cosx in the interval [0,2π] is

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Number of solutions of the equation $\tan x + \sec x = 2 \cos x$ in the interval $[0, 2 π]$ is