MCQ Questions for Class 10 Maths with Answers Chapter 8 Trigonometry

MCQ Questions for Class 10 Maths Chapter 8 Trigonometry

Q.1. (sin A−2 sin³A)/ (2 cos³A−cos A)=
(A) tan A
(B) cot A
(C) sec A
(D) 1

Answer

Answer: (A) tan A

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Q.2. In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C?

(A) There is no restriction on the measure of the angles
(B) Both the angles should be obtuse
(C) Both the angles should be acute
(D) One of the angles is acute and the other is obtuse

Answer

Answer: (C) Both the angles should be acute

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Q.3. (cos A / cot A) + sin A= ?
(A) cot A
(B) 2 sin A
(C) 2 cos A
(D) sec A

Answer

Answer: (B) 2 sin A

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Q.4. In a right triangle ABC, the right angle is at B. What is the length of missing side in the figure?

(A) 25 cm
(B) 12cm
(C) 7cm
(D) 5cm

Answer

Answer: (D) 5cm

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Q.5. If secθ + tanθ = x, then tanθ is:
(A) (x²-1) / 2x
(B) (x²+1) / 2x
(C) (x²-1) / x
(D) (x²+1) / x

Answer

Answer: (A) (x2-1) / 2x

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Q.6. Which of the following numbers can form sides of a right angled triangle?
(A) 13 cm , 27 cm , 15 cm
(B) 4 cm , 5 cm , 9 cm
(C) 2 cm , 17 cm , 9 cm
(D) 10 cm , 6 cm , 8 cm

Answer

Answer: (D) 10 cm , 6 cm , 8 cm

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Q.7. Which of the following are Pythagorean triplets?
(A) 4 cm , 6 cm , 8 cm
(B) 24 cm , 10 cm , 26 cm
(C) 13 cm , 27 cm , 30 cm
(D) 2 cm , 17 cm , 9 cm

Answer

Answer: (B) 24 cm , 10 cm , 26 cm

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Q.8. If p cotθ = √(q²-p²), then the value of sinθ is- (θ being an acute angle)

(A) q/3p
(B) q/2p
(C) p/q
(D) 0

Answer

Answer: (C) p/q

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Q.9. If sin A = 8/17, find the value of secA cosA + cosecA cosA.
(A) 23/8
(B) 15/8
(C) 8/15
(D) 6/23

Answer

Answer: (A) 23/8

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Q.10. Which of the following is correct for some θ, such that 0° ≤θ< 90°
(A) 1/ cos θ < 1
(B) sec θ = 0
(C) 1/ sec θ < 1
(D) 1/ sec θ> 1

Answer

Answer: (C) 1/ sec θ < 1

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Q.11. The value cot² 30°−2 cos² 60°−3/4 sec² 45°−4 sin² 30° is
(A) 2
(B) -1
(C) 1
(D) 0

Answer

Answer: (D) 0

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Q.12. If 5tanθ=4, then value of (5sinθ -4cosθ)/(5sinθ +4cosθ) is:
(A) 1/6
(B) 5/6
(C) 0
(D) 5/3

Answer

Answer: (C) 0

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Q.13. In △PQR, PQ = 12 cm and PR = 13 cm. ∠Q=90° Find tan P – cot R
(A) –(119/60)
(B) 119/60
(C) 0
(D) 1

Answer

Answer: (C) 0

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Q.14. If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y =
(A) sinθ / (1−cosϕ)
(B) sinθ / (1−cosθ)
(C) sinθ/sinϕ
(D) sinϕ / sinθ

Answer

Answer: (C) sinθ/sinϕ

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Q.15. If Cosec (A+ B) = 2/√3, sec(A-B)=2/√3
0°<A+B≤90°,
Find A and B.
(A) 25°,35°
(B) 30°, 30°
(C) 45°, 15°
(D) 10°,50°

Answer

Answer: (C) 45°, 15°

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Q.16. cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to:
(A) 0
(B) 1
(C) ½
(D) -1

Answer

Answer: (A) 0

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