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TS EAMCET · Maths · Trigonometric Equations

The number of solutions of the equation tanθ+secθ=2cosθ and cosθ0  lying in the interval 0,2π is

  1. A 1
  2. B 2
  3. C 3
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(B) 2

Step-by-step Solution

Detailed explanation

Given trigonometric equation is, tanθ+secθ=2cosθ ⇒sinθcosθ+1cosθ=2cosθ ⇒1+sinθ=2cos2θcosθ≠0;θ≠π2,3π2 in 0,2π ⇒1+sinθ=21-sin2θ ⇒2sin2θ+sinθ-1=0…