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

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**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**