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TS EAMCET · Maths · Trigonometric Ratios & Identities

If cosθ1+θ2cosθ1-θ2+cosθ3-θ4cosθ3+θ4=0, then cotθ1·cotθ2·cotθ3·cotθ4=

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

Answer & Solution

Correct Answer

(B) -1

Step-by-step Solution

Detailed explanation

We have, cosθ1+θ2cosθ1-θ2+cosθ3-θ4cosθ3+θ4=0 ⇒cosθ1cosθ2-sinθ1sinθ2cosθ1cosθ2+sinθ1sinθ2+cosθ3cosθ4-sinθ3sinθ4cosθ3cosθ4+sinθ3sinθ4=0…