#### MCQ Questions for Class 10 Maths Chapter 8 Trigonometry

**Q.1. (sin A−2 sin ^{3}A)/ (2 cos^{3}A−cos A)=**

(A) tan A

(B) cot A

(C) sec A

(D) 1

**Answer**

Answer: (A) tan A
**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
**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
**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
**Q.5. If secθ + tanθ = x, then tanθ is:**

(A) (x^{2}-1) / 2x

(B) (x^{2}+1) / 2x

(C) (x^{2}-1) / x

(D) (x^{2}+1) / x

**Answer**

Answer: (A) (x2-1) / 2x
**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
**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
**Q.8. If p cotθ = √(q ^{2}-p^{2}), 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
**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
**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
**Q.11. The value cot ^{2} 30°−2 cos^{2} 60°−3/4 sec^{2} 45°−4 sin^{2} 30° is**

(A) 2

(B) -1

(C) 1

(D) 0

**Answer**

Answer: (D) 0
**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
**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
**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
**Q.15. If Cosec (A+ B) = 2/√3, sec(A-B)=2/√30°<A+B≤90°,Find A and B.**

(A) 25°,35°

(B) 30°, 30°

(C) 45°, 15°

(D) 10°,50°

**Answer**

Answer: (C) 45°, 15°
**Q.16. cos 1° × cos 2° × cos 3° ×……..× cos 180° is equal to:**

(A) 0

(B) 1

(C) ½

(D) -1