WBJEE · Maths · Trigonometric Ratios & Identities
If \(\theta+\phi=\frac{\pi}{4}\), then \((1+\tan \theta)(1+\tan \phi)\) is equal to
- A 1
- B 2
- C \(5 / 2\)
- D \(1 / 3\)
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Hints: }(1+\tan \theta)\left(1+\frac{(1-\tan \theta)}{1+\tan \theta}\right) \\ & =(1+\tan \theta) \frac{2}{1+\tan \theta}=2 \end{aligned}\)
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