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AP EAMCET · Maths · Trigonometric Ratios & Identities

If cosθ1+cosθ2+cosθ3+cosθ4=-4, then the value of cotθ12+cotθ22+cotθ32+cotθ42=
 

  1. A 4
  2. B 1
  3. C 2
  4. D 0
Verified Solution

Answer & Solution

Correct Answer

(D) 0

Step-by-step Solution

Detailed explanation

Given, cos(θ1)+ cos(θ2)+cos(θ3)+ cos(θ4)=-4 We know that, 1≤cos(θ)≤1 cos(θ1)=-1,cos(θ2)=-1,cos(θ3)=-1,cos(θ4)=-1 θ1=π= θ2= θ3= θ4…