AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\sin ^2 \frac{2 \pi}{3}+\cos ^2 \frac{5 \pi}{6}-\tan ^2 \frac{3 \pi}{4}=\)
- A \(0\)
- B \(1 / 2\)
- C \(1\)
- D \(1 / 3\)
Answer & Solution
Correct Answer
(B) \(1 / 2\)
Step-by-step Solution
Detailed explanation
Here, \(\sin ^2\left(\frac{2 \pi}{3}\right)+\cos ^2\left(\frac{5 \pi}{6}\right)-\tan ^2\left(\frac{3 \pi}{4}\right)\) \(=\sin ^2\left(\pi-\frac{\pi}{3}\right)+\cos ^2\left(\pi-\frac{\pi}{6}\right)-\tan ^2\left(\pi-\frac{\pi}{4}\right)\)…
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