AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \left(270^{\circ}-x^{\circ}\right)=\cos 292^{\circ}\) then a value of \(x\) is
- A 120
- B 60
- C 113
- D 112
Answer & Solution
Correct Answer
(D) 112
Step-by-step Solution
Detailed explanation
\(-\cos x^{\circ} = \cos 292^{\circ}\) \(-\cos x^{\circ} = \cos (360^{\circ} - 68^{\circ})\) \(-\cos x^{\circ} = \cos 68^{\circ}\) \(\cos x^{\circ} = -\cos 68^{\circ}\) \(\cos x^{\circ} = \cos (180^{\circ} - 68^{\circ})\) \(\cos x^{\circ} = \cos 112^{\circ}\) \(x = 112\)
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