CBSE CLASS 10 MCQ TRIGONOMETRY

1. If cos A = 4/5 , then the value of tan A is

(A) 3/5             (B)3/4              (C)4/3              (D)5/3

2. If sin A = 1/2 , then the value of cot A is

(A) 3                (B) 1/3             (C) 3/2             (D) 1

3. The value of the expression [cosec (75° + q) – sec (15° – q – tan (55° + q+ cot (35° – q)] is

(A) – 1             (B) 0                (C) 1                (D) 3/2

4. Given that sinq= a/b , then cosq is equal to



5. If cos (a + b) = 0, then sin (a - b) can be reduced to

(A) cos b                     (B) cos 2b                   (C) sin α                      (D) sin 2a

6. The value of (tan1° tan 2° tan3° ... tan 89°) is

(A) 0                (B) 1                (C) 2                            (D)1 / 2

7. If cos 9a= sinα and 9a < 90°, then the value of tan5a is

(A) 1/√3                       (B) √ 3                         (C) 1                (D) 0

8. If DABC is right angled at C, then the value of cos (A+B) is

(A) 0                (B) 1                            (C) 1/2                         (D)√3/2

9. If sinA + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is

(A) 1                (B) 1/2                         (C) 2                            (D) 3

10. Given that sina= 1/2 and cosb =1/2 , then the value of (a + b) is

(A) 0°                           (B) 30°                         (C) 60°            (D) 90°

11. The value of the expression [sin² 22⁰ sin² 68⁰ / cos² 22⁰ cos² 68⁰       +  sin ² 63⁰ cos  63⁰ sin 27⁰ ]   is         

(A) 3                (B) 2                (C) 1                            (D) 0

12. If 4 tanq = 3, then [4sinq - cosq ] / [4sinq + cos q ] is equal to

(A) 2/3                                     (B) 1/3                         (C) 1/2             (D) 3/4

13. If sinq – cosq = 0, then the value of (sin⁴q + cos⁴qθ) is

(A) 1                (B) 3/4                         (C) 1/2                         (D) 1/4

14. sin (45° + q) – cos (45° – q) is equal to

(A) 2cosq                    (B) 0                (C) 2 sin q                   (D) 1

15. A pole 6 m high casts a shadow 2 √3m long on the ground, then the Sun’s elevation is

(A\) 60°                        (B) 45°                         (C) 30°                        (D) 90°