Question:

The number of solutions of the equation tan x + sec x = 2 cos x and cos x ≠ lying in the interval (0, 2π) is

Updated On: Apr 27, 2024
  • (A) 2
  • (B) 1
  • (C) 0
  • (D) 3
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The Correct Option is D

Solution and Explanation

Explanation:
tanx+secx=2cosx1+sinx=22sin2x2sin2x+sinx1=0(2sinx1)(sinx+1)=0sinx=1,12Therefore, number of solutions in (0,2π)=3
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