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TS EAMCET · Maths · Trigonometric Ratios & Identities

Maximum value of 2cos218°-sin18°cosθ+32cosθ+π4+3 is

  1. A 52
  2. B 45
  3. C 3
  4. D 12
Verified Solution

Answer & Solution

Correct Answer

(D) 12

Step-by-step Solution

Detailed explanation

(2cos218°-sin18)(cosθ+32cos(θ+π4)+3) =(1+cos36°-sin18)(cosθ+32cos(θ+π4)+3) =1+5+14-5-14cosθ+32cos(θ+π4)+3 Now, using cos(A+B)=cosAcosB-sinAsinB, we get 32cosθ+32cosθcosπ4-sinθsinπ4+3…