## Class 10 Maths Chapter 8 Introduction to Trigonometry MCQs

**Q1. A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 18 m. Find the height of the tree (in metres)**

a) 24√3

b) 9

c) 9√3

d) 18√3

Ans: d

**Q2. If the value of tanθ + cotθ = √3, then find the value of tan ^{6}θ + cot^{6}θ.**

a) -2

b) -1

c) -3

d) -4

Ans: a

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**Q3. If a sin 45 ^{0} = b cosec 30^{0}, what is the value of a^{4}/b^{4}?**

a) 6^{3}

b) 4^{3}

c) 2^{3}

d) None of the above

Ans: b

**Q4. If tan θ + cot θ = 2, then what is the value of tan ^{100} θ + cot^{100} θ?**

a) 1

b) 3

c) 2

d) None of the above

Ans: c

**Q5. If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?**

a) 1

b) √3

c) 1/√3

d) None of the above

Ans: c

**Q6. If cos X = a/b, then sin X is equal to:**

(a) (b^{2}-a^{2})/b

(b) (b-a)/b

(c) √(b^{2}-a^{2})/b

(d) √(b-a)/b

Answer: **(c) √(b ^{2}-a^{2})/b**

**Q7. If tan θ – cot θ = 0, what will be the value of sin θ + cos θ?**

a) 1

b) √2

c) 1/√2

d) None of the above

Ans: b

**Q8. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:**

(a) 12/7

(b) 24/7

(c) 20/7

(d) 7/24

Answer: **(b) 24/7**

**Q9. The value of tan 60°/cot 30° is equal to:**

(a) 0

(b) 1

(c) 2

(d) 3

Answer: **(b) 1**

**Q10. sin (90° – A) and cos A are:**

(a) Different

(b) Same

(c) Not related

(d) None of the above

Answer: **(b) Same**