AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \theta=\frac{3}{5}\) and \(\theta\) is not in the first quadrant, then \(15 \sin\) \(2 \theta-20 \cos 2 \theta-7 \tan 2 \theta=\)
- A -4
- B -12
- C 12
- D 4
Answer & Solution
Correct Answer
(D) 4
Step-by-step Solution
Detailed explanation
Given: \(\sin \theta=\frac{3}{5}\) Since, \(\theta\) is not in first quadrant then \(\theta\) will be in second quadrant because \(\sin \theta\) is positive in first \& second coordinate. \(\cos \theta=\sqrt{1-\sin ^2 \theta}=-\sqrt{1-\frac{9}{25}}=-\frac{4}{5}\) Now,…
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