Comprehensive Objective Type Question Bank Mathematics – Basic(TERM-I)

Introduction to Trigonometry 71 18. In the given Fig. 6.2, if AB = 14 cm, the value of tan B is Fig. 6.2 4 14 5 13 (a) 3 (b) 3 (c) 3 (d) 3 (d) 1 19. If tan  + cot  = 2, tan2  + cot2  is (d) 1 (a) 4 (b) 6 (c) 2 20. (sec2  + cot2  – tan2  – cosec2 ) is equal to (a) 2 (b) –2 (c) 0 1 21. If sin A = 3 , the value of (9 cot2 A + 9) is (a) 1 (b) 81 (c) 9 1 (d) 81 22. The value of (1 – sin2 ) sec2  is (a) –1 (b) 2 (c) 1 (d) 0 23. If x sin (90° – ) cot (90° – ) = cos (90° – ), x is equal to (a) 0 (b) 1 (c) –1 (d) 2 (d) cosec2 C 24. In  ABC,  C = 90°, the value of 1 + tan2 A = (a) sec2 C (b) cosec2 B (c) sec2 B 4 25. If cos A = 5 , then the value of tan A is (a) 3 (b) 3 (c) 4 (d) 5 5 4 3 3 1 26. If sin A = 2 , then the value of cot A is (a) 3 1 3 (d) 1 (b) 3 (c) 2 27. The value of the expression [cosec (75° + ) – sec (15° – ) – tan (55° + ) + cot (35° – )] is (a) –1 (b) 0 (c) 1 (d) 3 2 28. If cos ( + ) = 0, then sin ( – ) can be reduced to (a) cos  (b) cos 2 (c) sin  (d) sin 2 29. If cos 9 = sin  and 9 < 90°, then the value of tan 5 is (a) 1 (b) 3 (c) 1 (d) 0 3