Cbse 10 trigonometry important questions

PRACTICE SHEET
Subject: Mathematics Standard: X Division:
Chapter: 8
Name: Introduction to Trigonometry Roll No:


Section A: Multiple Choice Questions
Q1. 1 – cos A is equal to:
2

(a) tan2 A (b) sec2 A (c) sin2 A (d) 1 – sin2 A
Answer: option (c)
Q2. The value of cos 90° is
(a) 1 (b) 0 (c) 2 (d) Not defined
Answer: option (b)
Q3. If tan θ = √3 , then the measure of θ is
(a) 30° (b) 45° (c) 60° (d) 90°
Answer: option (c)
1 3
Q4. If sin A = and cos A = , then the value of tan A is
2 2
1 3 1
(a) (b) (c) 3 (d)
3 3 2
Answer: option (a)
4
Q5. If cos θ = , then the value of sec θ is
5
5 3 5 4
(a) (b) (c) (d)
3 5 4 5
Answer: option (c)
4
Q6. If cos A = , then the value of tan A is
5
3 3 4 5
(a) (b) (c) (d)
5 4 5 4
Answer: option (b)
Q7. If tan A = 1, then the value of sin A + cos A is
(a) 1 (b) 2 (c) √2 (d) 0
Answer: option (c)
8
Q8. If angle A is an acute and cos A  , then cot A is
17
8 15 15 17
(a) (b) (c) (d)
15 8 17 15
Answer: option (a)

Q9. The value of
1  tan θ  is
2


sec2 θ
(a) 0 (b) 1 (c) 2 (d) Not defined
Answer: option (b)


CB/X/2526 Practice Sheet Page 1 of 9

, PRACTICE SHEET
1 1
Q10. Given that sin A = and cos B = then the value of  A + B is :
2 2
(a) 30° (b) 60° (c) 45° (d) 90°
Answer: option (d)
Q11. Which of the following is always true for 0° < A < 90°?
(a) sin A > cos A (b) sin A = cos A (c) sin2 A + cos2 A = 1 (d) cos A > sin A
Answer: option (c)
Q12. If 2 sin A = 3 , then the value of tan A is
1 3
(a) 1 (b) (c) (d) 3
3 2
Answer: option (d)
a
Q13. Given that sin θ = , then cos θ is equal to
b
(a)
b
(b)
b b2  a 2 (d)
a
(c)
b a2 2
a b b  a2
2

Answer: option (c)
7
Q14. In Δ ABC right angled at B, sin A = , then the value of cos C is
25
7 24 7 24
(a) (b) (c) (d)
25 25 24 7
Answer: option (a)
Q15. If sin θ – cos θ = 0, then the value of θ is
(a) 30° (b) 45° (c) 90° (d) 0°
Answer: option (b)
 4sin θ  cosθ 
Q16. If 4 tan θ = 3, then   is equal to
 4sin θ  cosθ 
2 1 1 3
(a) (b) (c) (d)
3 3 2 4
Answer: option (c)
 1  tan θ 
Q17. Given that sec θ = 2 , the value of   is
 sin θ 
(a) 2 2 (b) 2 (c) 3 2 (d) 2
Answer: option (a)
Q18. 5 tan2 θ − 5 sec2 θ is equal to
(a) 1 (b) 5 (c) −5 (d) 10
Answer: option (c)
Q19. If sec θ + tan θ = x, then tan θ is equal to
x2  1 x2  1 x2  1 x2  1
(a) (b) (c) (d)
x x 2x 2x
Answer: option (d)



CB/X/2526 Practice Sheet Page 2 of 9