**MCQs Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a very important role to prepare for a competitive examination. CBSE board also gives a number of MCQs questions in board examinations. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **18** **MCQs questions for class 10 maths chapter 8 introduction to trigonometry**.

**MCQs Questions for Class 10
Maths Chapter 8 Introduction to Trigonometry**

**1.** sin (45° + Î¸) – cos (45° –
Î¸) is equal to

(A) 2 cos Î¸

(B) 0

(C) 2 sin Î¸

(D) 1

**Answer:
B**

**2. **(sin
30° + cos 30°) – (sin 60° + cos 60°) is
equal to

(A)
– 1

(B)
0

(C)
1

(D) 2

**Answer:
B**

**3. **If √2 sin (60° – Î±) = 1, then
Î± is equal to

(A) 45°

(B) 15°

(C) 60°

(D) 30°

**Answer:
B**

**4. **If
cos A = 4/5, then tan A = ?

(A)
3/5

(B)
¾

(C)
4/3

(D) 4/5

**Answer:
B**

**5. **If cos (40° + A) = sin 30°,
then value of A is

(A) 30°

(B) 40°

(C) 60°

(D) 20°

**Answer:
D**

**6. **If cosec Î¸ – cot Î¸ = 1/3, the value of (cosec Î¸ + cot Î¸) is

(A) 1

(B) 2

(C) 3

(D) 4

**Answer:
C**

**7. **The
value of the expression [cosec (75° + Î¸) – sec (15° − Î¸) – tan (55° + Î¸) + cot
(35° − Î¸)] is

(A)
1

(B)
−1

(C)
0

(D) 1/2

**Answer:
C**

**8. **If cos A + cos² A = 1, then
sin² A + sin^{4} A is equal to

(A) -1

(B) 0

(C) 1

(D) None of these

**Answer:
C**

**9. **2(sin^{6} Î¸ +
cos^{6} Î¸) – 3(sin^{4} Î¸ + cos^{4} Î¸) is
equal to

(A) 0

(B) 6

(C) -1

(D) None of these

**Answer:
C**

**10.** The
value of (tan 1° tan 2° tan 3° ... tan 89°) is

(A)
0

(B)
1

(C)
2

(D) 1/2

**Answer:
B**

**11. **3 sin² 20° – 2 tan² 45° + 3
sin² 70° is equal to

(A) 0

(B) 1

(C) 2

(D) -1

**Answer:
B**

**12. **If x sin (90° – Î¸) cot (90° –
Î¸) = cos (90° – Î¸), then x is equal to

(A) 0

(B) 1

(C) -1

(D) 2

**Answer:
B**

**13.** If
sin A = 1/2 and cos B = 1/2, then A + B = ?

(A)
0^{0}

(B)
30^{0}

(C)
60^{0}

(D)
90^{0}

**Answer:
D**

**14. **Given that sin Î± = 1/2 and cos Î² = 1/2, then the value of (Î± + Î²) is

(A) 0°

(B) 30°

(C) 60°

(D) 90°

**Answer:
D**

**15.** If
cos 9Î± = sin Î± and 9Î± < 90°, then the value of tan 5Î± is

(A)
√3

(B)
1/√3

(C)
0

(D) 1

**Answer:
D**

**16. **If
a pole 6 m high casts a shadow 2√3 m long on the ground, then the sun’s
elevation is

(A)
60°

(B)
45°

(C)
30°

(D) 90°

**Answer:
A**

**17.** If
cos (A + B) = 0, then sin (A – B) is reduced to:

(A)
cos A

(B)
cos 2B

(C)
sin A

(D) sin 2B

**Answer:
B**

**18. **The maximum value of 1/cosec Î± is

(A) 0

(B) 1

(C) √3/2

(D) –1/√2

**Answer:
B**