COMEDK · Maths · 8. Trigonometric Ratios & Identities
The value of \(\tan 67 \frac{1^{\circ}}{2}+\cot 67 \frac{1^{\circ}}{2}\) is
- A \(\sqrt{2}\)
- B \(3 \sqrt{2}\)
- C \(2 \sqrt{2}\)
- D \(2-\sqrt{2}\)
Answer & Solution
Correct Answer
(C) \(2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
We have, \(\tan 67 \frac{1}{2}^{\circ}+\cot 67 \frac{1}{2}^{\circ}\) \(=\frac{\sin 67 \frac{1}{\circ}_{\circ}^{2}}{\cos 67 \frac{1}{2}^{\circ}}+\frac{\cos 67 \frac{1}{2}_{\circ}}{\sin 67 \frac{1}{2}^{\circ}}\)…
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