ExamBro
ExamBro
AP EAMCET · Maths · Trigonometric Ratios & Identities

If cosecθ+cotθ=13, then θ lies in the

  1. A 1st quadrant 
  2. B 2nd quadrant
  3. C 3rd quadrant
  4. D 4th
Verified Solution

Answer & Solution

Correct Answer

(B) 2nd quadrant

Step-by-step Solution

Detailed explanation

cosecθ+cotθ=13 ⇒1+cosθsinθ=13 3+3cosθ=sinθ Squaring 9cos2θ+18cosθ+9=1-cos2θ ⇒10cos2θ+18cosθ+8=0 ⇒5cos2θ+9cosθ+4=0 ⇒5cos2θ+5cosθ+4cosθ+4=0…