If sin x + 7 cos x = 5 then cos (x – φ) = 1/ 2 if
Mathematics · JEE Advanced · NTA Exams — Trigonometry
If sin x + 7 cos x = 5 then cos (x – φ) = 1/ \(\sqrt{2}\) if
- \(\phi=\cos ^{-1} 7 / \sqrt{50}\)
- \(\phi=\sin ^{-1} 1 / \sqrt{50}\)
- \(\phi=\cos ^{-1} 1 / 7\)
- \(\phi=\sin ^{-1} 5 / 7\)
Answer
(A) = ^ -1 7 / 50, (B) = ^ -1 1 / 50
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