AP EAMCET · Maths · Trigonometric Ratios & Identities
Determine the value of \(a\) in \(\tan 70^{\circ}-\tan 20^{\circ}=a \cdot \tan 50^{\circ} ?\)
- A \(-4\)
- B \(4\)
- C \(-2\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
\(\tan 70^{\circ}-\tan 20^{\circ}=a \cdot \tan 50^{\circ}\) \(\frac{\sin 70^{\circ}}{\cos 70^{\circ}}-\frac{\sin 20^{\circ}}{\cos 20^{\circ}}=\frac{a \sin 50^{\circ}}{\cos 50^{\circ}}\)…
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