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AP EAMCET · Maths · Trigonometric Equations

The value of the expression
\(\begin{aligned}
& \frac{1+\sin 2 \alpha}{\cos (2 \alpha-2 \pi) \tan \left(\alpha-\frac{3 \pi}{4}\right)} \\
& -\frac{1}{4} \sin 2 \alpha\left[\cot \frac{\alpha}{2}+\cot \left(\frac{3 \pi}{2}+\frac{\alpha}{2}\right)\right]
\end{aligned}\)

  1. A \(0\)
  2. B \(1\)
  3. C \(\sin ^2 \frac{\alpha}{2}\)
  4. D \(\sin ^2 \alpha\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sin ^2 \alpha\)

Step-by-step Solution

Detailed explanation

Given expression,…