CBSE Class 10 Mathematics Chapter 8 Introduction to Trigonometry Multiple Choice Questions with Answers. MCQ Class 10 Maths Introduction to Trigonometry with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Introduction to Trigonometry MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 3
Question 1:
The value of sin2 5° + sin2 10° + sin2 15° + … + sin2 90° is equal to
(a) 8
(b) 8.5
(c) 9
(d) 9.5
Correct Answer – (D)
= (sin2 5° + sin2 85°) + (sin2 10° + sin2 80°) + … + (sin2 40° + sin2 50°) + sin2 45° + sin2 90°
= (sin2 5° + cos2 5°) + (sin2 10° + cos2 10°) + … + (sin2 40° + cos2 40°) + (1/√2)2 + 1
Question 2 :
If cos (α + β) = 0, then sin (α – β) can be reduced to
(a) cos β
(b) cos 2β
(c) sin α
(d) sin 2α
Correct Answer – (B)
⇒ α + β = 90°
sin (α – β) = sin (α – β + β – β)
= sin (α + β – 2β)
= sin (90° – 2β) = cos 2β
Question 3 :
If 3 cot θ = 2, then the value of tan θ
(a) 2/3
(b) 3/2
(c) 3/√13
(d) 2/√13
Correct Answer – (B)
Question 4 :
Match the Columns:
(a) 1 – A, 2 – C, 3 – B
(b) 1 – C, 2 – A, 3 – D
(c) 1 – B, 2 – A, 3 – E
(d) 1 – B, 2 – D, 3 – A
Correct Answer – (D)
Question 6 :
sin (45° + θ) – cos (45° – θ) is equal to
(a) 2 cos θ
(b) 0
(c) 2 sin θ
(d) 1
Correct Answer – (B)
sin (45° + θ) – cos (45° – θ)
= sin {90° – (45° – θ)} – cos (45° – θ)
= cos (45° – θ) – cos (45° – θ) = 0
Question 7 :
If cos 9α = sin a and 9α < 90°, then the value of tan 5α is
(a) 1/√3
(b) √3
(c) 1
(d) 0
Correct Answer – (C)
⇒ cos 9α = cos (90° – α)
⇒ 9α = 90° – α
⇒ 10α = 90°
⇒ α = 9°
∴ tan 5α = tan 5 × 9°
= tan 45° = 1
Question 8 :
If ∆ABC is right angled at C, then the value of cos (A + B) is
(a) 0
(b) 1
(c) 1/2
(d) √3/2
Correct Answer – (A)
∴ A + B + C = 180°
A + B = 180° – 90° = 90° (∵ ∠C = 90°)
cos (A + B) = cos 90° = 0
Question 9 :
The value of sin² 30° – cos² 30° is
(a) -1/2
(b) √3/2
(c) 3/2
(d) 2/3
Correct Answer – (A)
Question 10 :
Match the Columns:
(a) 1 – A, 2 – C, 3 – B
(b) 1 – B, 2 – C, 3 – A
(c) 1 – B, 2 – C, 3 – D
(d) 1 – D, 2 – B, 3 – A
Correct Answer – (B)
- NCERT Solutions Class 10 Mathematics Introduction to Trigonometry : Exercise 8.1
- NCERT Solutions Class 10 Mathematics Introduction to Trigonometry : Exercise 8.2
- NCERT Solutions Class 10 Mathematics Introduction to Trigonometry : Exercise 8.3
- NCERT Solutions Class 10 Mathematics Introduction to Trigonometry : Exercise 8.4
