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AP EAMCET · Maths · Trigonometric Ratios & Identities

\(\sin (x+y) \sec x \sec y=\)

  1. A \(\cos x \cos y\)
  2. B \(\tan x-\tan y\)
  3. C \(\cos x+\cos y\)
  4. D \(\tan x+\tan y\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\tan x+\tan y\)

Step-by-step Solution

Detailed explanation

\(\sin (x+y) \cdot \sec x \cdot \sec y\) \(=\frac{\sin x \cdot \cos y+\cos x \cdot \sin y}{\cos x \cdot \cos y}=\tan x+\tan y\)