Important Mathematics Questions of Class X Chapter {Trigonometry} for CBSE Examination 2023
- What happens to value of Cos θ, when θ increases from 00 to 900?
- If A and B are acute angles and Cosec A = Sec B, then find the value of A + B.
- Find the value of Cot 100 Cot 300 Cot 800
- If cos2A = Sin (A - 150), find A.
- Find the value of tan2100 – cot2800.
- If tan (3x + 300) = 1, then find the value of x.
- If A and B are acute angles and Sin A = Cos B, then find the value of A + B.
- Find the value of x, when it is given that cos (4x – 100) = 0
- Find the value of Cos 10 cos 20 cos 30 …..…… cos 1800.
- If Cos 3 θ = 1/2 , 0 ‹ θ ‹ 200, then find the value of θ.
- If cot A = 12/5, then find the value of (Sin A + Cos A)cosec A.
- If 1 – tan2A = 2/3, find the value of A.
- If Tan A = √3 and A is acute, then find the value of 2 A.
- Express: tan680 + sec680 in terms of trigonometric ratio of angles lying between 00 to 450.
- Evaluate: (sec2370 – cot2530).tan210.tan690 – sin510.cos390 – cos510.sin390.
- Find the acute angle A satisfying the equation: sec2A + tan2A = 3.
- If Sin 3A = Cos (A – 60), where 3A and (A – 60) are both acute angles, find the value of A.
- If A is an acute angle and Sin A = Cos A, find: 3tan2A + 2sin2A + cos2A – 1 .
- 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
- 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.
- If tan A = 3/7, find the value of sin A.
- In △PQR, right angled at Q, PR + QR = 25cm and PQ = 5 cm. determine the value of Sin P, Cos P and tan P.
- If sin 3A = Cos (A – 260), where 3A is an acute angle, find the value of A.
- If tan (A + B) = √3 and tan (A – B) = 1, then find A and B.
- If sec 4A = cosec (A – 200), where 4A is an acute angle, then find the value of A.
- Prove that: (1 + tan2 v) (1 – sin v) (1 + sin v) = 1
- If sec v – tan v = √2 tan v, then show that: sec v + tan v = √2 sec v.
- Prove that: b2x2 – a2y2 = a2b2, if x = a sec v; y = b tan v.
- If tan A + sin A = m and tan A – sin A = n, show that m2 – n2 = 4.
- If x = a sin θ + b cos θ and y = a cos θ – b sin θ then prove that x2 + y2 = a2 + b2.
- If 15tan2θ + 4sec2θ = 23, then find the value of (sec θ + cosec θ)2 – sin2θ.
- If x sin3θ + y cos3θ = sin θ cos θ and x sin θ = y cos θ, prove that: x2 + y2 = 1.
- Prove that: 2(sin6θ + cos6θ) – 3(sin4θ + cos4θ) + 1 = 0.
- 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
- Taking θ = 300, verify that
- (i) Cos2θ = 1 – 2sin2θ
- (ii) Sin3θ = 3sin θ – 4sin3θ .
- Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.
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