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AP EAMCET · Maths · Trigonometric Equations

If sinπ4cotθ=cosπ4tanθ, then θ=

  1. A 2nπ+π4
  2. B 2nπ±π4
  3. C 2nπ-π4
  4. D nπ+π4
Verified Solution

Answer & Solution

Correct Answer

(D) nπ+π4

Step-by-step Solution

Detailed explanation

Given sinπ4cotθ=cosπ4tanθ Using sinπ2-θ=cosθ, ⇒sinπ4cotθ=sinπ2-π4tanθ ⇒π4cotθ=π2-π4tanθ ⇒π4tanθ+cotθ=π2 ⇒tanθ+cotθ=2…