TS EAMCET · Maths · Trigonometric Equations
If \(|\sin \alpha-\cos \alpha|=\frac{3}{4}\), then \(|\sec 2 \alpha-\tan 2 \alpha|=\)
- A \(\frac{12}{17}\)
- B \(\frac{4}{\sqrt{23}}\)
- C \(\frac{3}{\sqrt{23}}\)
- D \(\frac{7}{\sqrt{23}}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{\sqrt{23}}\)
Step-by-step Solution
Detailed explanation
Given \(|\sin \alpha-\cos \alpha|=\frac{3}{4}\) \[ \sin \alpha-\cos \alpha=\frac{3}{4} \] Take square both sides, \[ \sin ^2 \alpha+\cos ^2 \alpha-\sin 2 \alpha=\frac{9}{16} \] \(1-\frac{9}{16}=\sin 2 \alpha\) \[ \sin 2 \alpha=\frac{7}{16}=\frac{P}{H} \] Here,…
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