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 - 6
Question 1:
If cos X = ⅔ then tan X is equal to:
(a)5/2
(b)√(5/2)
(c)√5/2
(d)2/√5
Correct Answer – (C)
Explanation: By trigonometry identities, we know:
1+tan2X=sec2X
And sec X = 1/cos X = 1/(⅔) = 3/2
Hence,
1+tan2X=(3/2)2=9/4
tan2X=9/4-1=5/4
Tan X = √5/2
Question 2 :
1-cos2A is equal to:
(a)sin2A
(b)tan2A
(c)1-sin2A
(d)sec2A
Correct Answer – (A)
Explanation: We know, by trigonometry identities,
sin2A+cos2A = 1
1-cos2A = sin2A
Question 3 :
(Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:
(a)0
(b)1+2√3
(c)1-√3
(d)1+√3
Correct Answer – (C)
Explanation: sin 30° = ½, sin 60° = √3/2, cos 30° = √3/2 and cos 60° = ½
Putting these values, we get:
(½+½)-(√3/2+√3/2)
= 1-√3
Question 4 :
If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) 1/√3
(c) 1
(d) √3
Correct Answer – (C)
Question 5 :
If x and y are complementary angles, then
(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y
Correct Answer – (D)
Question 6 :
Sin (90° – A) and cos A are:
(a)Different
(b)Same
(c)Not related
(d)None of the above
Correct Answer – (B)
Explanation: By trigonometry identities.
Sin (90°-A) = cos A [comes in the first quadrant of unit circle]
Question 7 :
The value of tan 60°/cot 30° is equal to:
(a)0
(b)1
(c)2
(d)3
Correct Answer – (B)
Explanation: tan 60° = √3 and cot 30° = √3
Hence, tan 60°/cot 30° = √3/√3 = 1
Question 8 :
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
Correct Answer – (B)
AB=24cm and BC = 7cm
Tan C = Opposite side/Adjacent side
Tan C=24/7
Question 9 :
sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°
Correct Answer – (D)
Question 10 :
The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
(a) 1
(b) -1
(c) 0
(d) 1/√2
Correct Answer – (C)
- 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
