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AP EAMCET · Maths · Trigonometric Equations

If \(\cos \theta \neq 0\), and \(\sec \theta-1=(\sqrt{2}-1) \tan \theta\) then \(\theta=\)

  1. A \(n \pi+\frac{\pi}{8}, n \in Z\)
  2. B \(2 n \pi+\frac{\pi}{4}\) or \(2 n \pi, n \in Z\)
  3. C \(2 n \pi+\frac{\pi}{8}, n \in Z\)
  4. D \(2 n \pi-\frac{\pi}{4}\) or \(2 n \pi, n \in Z\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 n \pi+\frac{\pi}{4}\) or \(2 n \pi, n \in Z\)

Step-by-step Solution

Detailed explanation

If \(\cos \theta \neq 0\) and \(\sec \theta-1=(\sqrt{2}-1) \tan \theta\)…