AP EAMCET · Maths · Trigonometric Ratios & Identities
The value of \(\cot 70^{\circ}+4 \cos 70^{\circ}\) is
- A \(\frac{1}{\sqrt{3}}\)
- B \(\sqrt{3}\)
- C \(2 \sqrt{3}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(\cot 70^{\circ}+4 \cos 70^{\circ} = \frac{\cos 70^{\circ}}{\sin 70^{\circ}} + 4 \cos 70^{\circ}\) \(= \frac{\cos 70^{\circ} + 4 \sin 70^{\circ} \cos 70^{\circ}}{\sin 70^{\circ}}\) \(= \frac{\cos 70^{\circ} + 2 (2 \sin 70^{\circ} \cos 70^{\circ})}{\sin 70^{\circ}}\)…
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