M0IITU03 - Trigonometric rations & fns qns

M0IITU03 - Trigonometric rations & fns qns - 1 QUEST...

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Unformatted text preview: 1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. If sinA = 1 10 & sinB = 1 5 , where A and B are positive acute angles, then A + B = (A) π (B) π 2 (C) π 3 (D) π 4 2. If sin θ + cos θ = m and sec θ + cosec θ = n, then n (m + 1) (m - 1) = (A) m (B) n (C) 2m (D) 2n 3. If sinA + sinB = C, cosA + cosB = D, then the value of sin (A + B) = (A) CD (B) CD C D 2 2 + (C) C D CD 2 2 2 + (D) 2 2 2 CD C D + 4. If sin A = sin B and cos A = cos B, then : (A) sin A B- 2 = 0 (B) sin A B + 2 = 0 (C) cos A B- 2 = 0 (D) cos (A + B) = 0 5. If f(x) = cos 2 x + sec 2 x, then : (A) f(x) < 1 (B) f(x) = 1 (C) 1 < f(x) < 2 (D) f(x) ≥ 2 6. If α + β- γ = π , then sin 2 α + sin 2 β - sin 2 γ = (A) 2 sin α sin β cos γ (B) 2 cos α cos β cos γ (C) 2 sin α sin β sin γ (D) None of these 7. cos 2 48º - sin 2 12º = (A) 5 1 4- (B) 5 1 8 + (C) 3 1 4- (D) 3 1 2 2 + 8. sin 6 θ + cos 6 θ + 3 sin 2 θ cos 2 θ = (A) (B) - 1 (C) 1 (D) None of these 9. 1 + cos 2x + cos 4x + cos 6x = (A) 2 cos x cos 2x cos 3x (B) 4 sin x cos 2x cos 3x (C) 4 cos x cos 2x cos 3x (D) None of these 10. sin 75º = (A) 2 3 2- (B) 3 1 2 2 + (C) 3 1 2 2-- (D) 3 1 2 2- 11. sin 20º sin 40º sin 60º sin 80º = (A) - 3 16 (B) 5 16 (C) 3 16 (B) - 5 16 12. If x - sec θ + tan θ , then x + 1 x = (A) 1 (B) 2 sec θ (C) 2 (D) 2 tan θ 13. sin 12º sin 48º sin 54º = (A) 1 16 (B) 1 32 T rigonometr y Ratios and Functions 2 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 (C) 1 8 (D) 1 4 14. cos sin cos sin 12 12 12 12 ° - ° ° + ° + sin cos 147 147 ° ° (A) 1 (B) - 1 (C) (D) None of these 15. tan 3A - tan 2A - tan A = (A) tan 3A tan 2A tan A (B) - tan 3A tan 2A tan A (C) tan A tan 2A - tan 2A tan 3A- tan 3A tan A (D) None of these 16. 3 sin sin ( ) 4 4 3 2 3 π α π α- + + - 2 sin sin ( ) 6 6 2 5 π α π α +...
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This note was uploaded on 10/05/2011 for the course MATH 1201 taught by Professor Friesner during the Spring '11 term at St. Mary NE.

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M0IITU03 - Trigonometric rations & fns qns - 1 QUEST...

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