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Class: 11 Subject: Math Topic: Trigo No. of Questions: 25 If for real values of x, cosx = x + 1/x, then 3. 1 2 3 4 o o o o What is the value of tan 9 – tan 27 – tan 63 + tan 81 ? (A) (B) (C) (D) 4. o ia (A) (B) (C) (D) o cosec 20 – sec 20 ? ns What is the value of 1 2 3 4 kI 2. x > 90 x < 90 x = 90 no value of x is possible IT (A) (B) (C) (D) as 1. What is the value of (A) (B) (C) (D) none of these ? 5. The value of x ∈ R, for which 2 sin x cos x +2 does not hold true, is (A) (B) (C) (D) None of these tan x is periodic with period ns 6. ia (A) (B) π (C) 2π (A) (B) (C) kI The period of tan(x + 3x + 5x + 7x) is as 7. IT (D) (D) 8. Which of the following is correct? (A) (B) (C) (D) tan1 = tan2 tan1 = 2/3 tan2 tan1 > tan2 tan1 < sin2 The magnitude of a radian is (A) (B) (C) (D) For the trigonometric functions, which of the following statements is true? (A) (B) (C) (D) 12. If sin (A) (B) (C) (D) 13. ia The greatest value of sinx cosx is 1 2 1/2 1 IT 11. |cos x| is not a periodic function period of |cos x| is the same as that of cos x |cos x| and tan x both have period tan x has period p, but |cos x| does not have period ns (A) (B) (C) (D) = cos o 12 o 15 o 18 o 21 kI 10. 180° 58° 59′ 57° 17′ 44.8′′ 60° , then is equal to as 9. If is an acute angle and sin (A) (B) (C) (D) , then p must satisfy 6 6 If u = sin x + cos x, then maximum and minimum values of u are If A = ns ± 1/4 ±1 1 and 1/4 1/4 and – 1 , then (cos3A cos2A + sin2A sin3A) sin A is equal to IT (A) (B) (A) (B) (C) (D) 18. cot – = cot ( ) cot ( as 2 If cot kI (C) (D) None of these 17. : 2, find the measure of 75 o 60 o 45 o 30 (A) (B) (C) (D) 16. B = 90 and AB : AC = o (A) (B) (C) (D) 15. o In a right angled triangle ABC, if ia 14. – ), then cot 2 + cot 1/2 (cot + cot ) 1/2 (tan + tan ) None of these 0 0 0 0 The value of sin36 .sin72 .sin108 .sin144 is (A) (B) (C) (D) 1/16 3/16 5/16 None of these is equal to A. 19. – tan tan – tan tan is equal to (A) – (B) 1 – (C) 1 (D) If tan 1 = k tan 2, then equals ns 20. ia (A) (B) IT (C) kI (D) If cot x = functions. , x lies in second quadrant find the values of other five trigonometric 22. Prove that 23. Prove that sin x + sin 3x + sin 5x + sin 7x = 4 cos x. cos 2x. sin 4x 24. Prove that cos2 x + cos2 ( 25. Prove that cos 2x. cos – cos 3x. cos as 21. = tan x ) ( ) = sin 5x sin