CBSE Class 10 Mathematics Important Questions for Exam 2023 (Chapter - Trigonometry)

 

Important Mathematics Questions of  Class X Chapter {Trigonometry}            for CBSE Examination 2023

1.     What happens to value of Cos θ, when θ increases from 0⁰ to 90⁰?
2.    If A and B are acute angles and Cosec A = Sec B, then find the value of A + B.
3.    Find the value of Cot 10⁰ Cot 30⁰ Cot 80⁰
4.     If cos2A = Sin (A - 15⁰), find A.
5.    Find the value of tan²10⁰ – cot²80⁰.
6.   If tan (3x + 30⁰) = 1, then find the value of x.
7.   If A and B are acute angles and Sin A = Cos B, then find the value of A + B.
8.   Find the value of x, when it is given that cos (4x – 10⁰) = 0
9.  Find the value of Cos 1⁰ cos 2⁰ cos 3⁰ …..…… cos 180⁰.
10.  If Cos 3 θ = 1/2 , 0 ‹ θ ‹ 20⁰, then find the value of θ.
11.  If cot A = 12/5, then find the value of (Sin A + Cos A)cosec A.
12. If 1 – tan²A = 2/3, find the value of A.
13. If Tan A = √3 and A is acute, then find the value of 2 A.
14. Express: tan68⁰ + sec68⁰ in terms of trigonometric ratio of angles lying between         0⁰ to 45⁰.
15. Evaluate: (sec²37⁰ – cot²53⁰).tan21⁰.tan69⁰ – sin51⁰.cos39⁰ – cos51⁰.sin39⁰.
16. Find the acute angle A satisfying the equation: sec²A + tan²A = 3.
17.  If Sin 3A = Cos (A – 6⁰), where 3A and (A – 6⁰) are both acute angles, find the value of A.
18. If A is an acute angle and Sin A = Cos A, find: 3tan²A + 2sin²A + cos²A – 1 .
19. In triangle ABC, angle B = 90⁰, AB = 3 cm and BC = 4 cm. Find: (i) Sin C                   (ii) Cos C             (iii) Sec A  (iv) Cosec A
20. Evaluate:  Sin(50⁰ + A) – Cos (40⁰ – A) + tan1⁰ tan10⁰ tan 20⁰ tan70⁰ tan 80⁰ tan 89⁰          + sec (90⁰ – A).cosec A – tan(90⁰ – A). cot A.

 

1. If tan A = 3/7, find the value of sin A.
2.  In △PQR, right angled at Q, PR + QR = 25cm and PQ = 5 cm. determine the value of Sin P, Cos P and tan P.
3.  If sin 3A = Cos (A – 26⁰), where 3A is an acute angle, find the value of A.
4.  If tan (A + B) = √3 and tan (A – B) = 1, then find A and B.
5.  If sec 4A = cosec (A – 20⁰), where 4A is an acute angle, then find the value of A.
6.  Prove that: (1 + tan² v) (1 – sin v) (1 + sin v) = 1
7.  If sec v – tan v = √2 tan v, then show that: sec v + tan v = √2 sec v.
8. Prove that: b²x² – a²y² = a²b², if x = a sec v; y = b tan v.
9.  If tan A + sin A = m and tan A – sin A = n, show that m² – n² = 4.
10. If x = a sin θ + b cos θ and y = a cos θ – b sin θ then prove that x² + y² = a² + b^2.
11. If 15tan²θ + 4sec²θ = 23, then find the value of (sec θ + cosec θ)² – sin²θ.
12. If x sin³θ + y cos³θ = sin θ cos θ and x sin θ = y cos θ, prove that: x² + y² = 1.
13.  Prove that: 2(sin⁶θ + cos⁶θ) – 3(sin⁴θ + cos⁴θ) + 1 = 0.
14. If tan(20⁰ - 3α) = cot(5α – 20⁰), then find the value of α and hence evaluate: sin α .     sec α . tan α – cosec α . cos α . cot α
15.  Taking θ = 30⁰, verify that
16. (i)                 Cos2θ = 1 – 2sin²θ
17. (ii)             Sin3θ = 3sin θ – 4sin³θ .
18.  Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.