Mathematics · Trigonometry
Match the trigonometric equations or expressions in List-I with their correct values or number of real solutions listed in List-II: List-IList-II(I) Number of solutions of (1 - cos 2x)(cos 2x + cot2 x) = 0 where 0 ≤ x ≤ 2π(P) 4(II) Value of tan 81° - tan 63° - tan 27° + tan 9°(Q) 3(III) Number of pairs (x, y) satisfying |y| = sin x and y = cos-1(cos x), where -2π ≤ x ≤ 2π(R) 2(IV) Number of real solutions of cos-1x + cos-12x + π = 0(S) 1 (T) 0
- 1(I) → S, (II) → T, (III) → S, (IV) → Q
- 2(I) → T, (II) → P, (III) → Q, (IV) → T✓
- 3(I) → S, (II) → Q, (III) → R, (IV) → S
- 4(I) → T, (II) → S, (III) → S, (IV) → Q
Correct answer
(I) → T, (II) → P, (III) → Q, (IV) → T
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