NTSE Test: Introduction To Trigonometry - Class 10 MCQ

# NTSE Test: Introduction To Trigonometry - Class 10 MCQ

Test Description

## 10 Questions MCQ Test Mathematics (Maths) Class 10 - NTSE Test: Introduction To Trigonometry

NTSE Test: Introduction To Trigonometry for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The NTSE Test: Introduction To Trigonometry questions and answers have been prepared according to the Class 10 exam syllabus.The NTSE Test: Introduction To Trigonometry MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for NTSE Test: Introduction To Trigonometry below.
Solutions of NTSE Test: Introduction To Trigonometry questions in English are available as part of our Mathematics (Maths) Class 10 for Class 10 & NTSE Test: Introduction To Trigonometry solutions in Hindi for Mathematics (Maths) Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt NTSE Test: Introduction To Trigonometry | 10 questions in 10 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Mathematics (Maths) Class 10 for Class 10 Exam | Download free PDF with solutions
NTSE Test: Introduction To Trigonometry - Question 1

### The value of (sin 30° + cos 30°) - (sin 60° + cos 60°) is

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 1

sin 30° = 1/2,
cos 30°=√3/2,
sin 60°=√3/2,
cos 60°=1/2,
By putting the value of sin 30°, cos 30°, sin 60° and cos 60° in equation

We get=
(sin30°+cos30°)-(sin60°+cos60°)=(1/2+√3/2)-(√3/2+1/2)
=0

NTSE Test: Introduction To Trigonometry - Question 2

### Ratios of sides of a right triangle with respect to its acute angles are known as

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 2

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

 1 Crore+ students have signed up on EduRev. Have you?
NTSE Test: Introduction To Trigonometry - Question 3

### The value of (sin 45° + cos 45°) is

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 3

sin 45° + cos 45°

Hence, the answer is = √2

NTSE Test: Introduction To Trigonometry - Question 4

If tan θ = a/b then the value of

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 4

Let,angle= θ
(asinθ + bcosθ)/(asinθ - bcosθ)
Dividing both numerator and denominator from cosθ
We get,
atanθ +b/atanθ - b
= ( a.a/b + b) /(a.a/b - b) =(a²/b +b)/(a²/b - b)
=(a² + b²/a²- b²)

NTSE Test: Introduction To Trigonometry - Question 5

If 6cotθ + 2cosecθ = cotθ + 5cosecθ, then cosθ is

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 5

6cot+2cosec=cot+5cosec
6cot-cot=5cosec-2cosec
5cot=3cosec
5cos/sin=3/sin
cos=3/5

NTSE Test: Introduction To Trigonometry - Question 6

Match the Columns:

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 6

Explanation : If θ is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side.

NTSE Test: Introduction To Trigonometry - Question 7

9 sec2 A - 9tan2 A is equal to

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 7

9 sec2 A - 9 tan2 A
= 9( sec2 A - tan2 A)
= 9 × 1
= 9

NTSE Test: Introduction To Trigonometry - Question 8

The value of sin2 30° - cos2 30° is

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 8

Solution :- sin^2 30° − cos^2 30°

= (1/2)2 −((3)1/2/2)2

= 1/4 - 3/4

= -1/2

NTSE Test: Introduction To Trigonometry - Question 9

If tan A = 3/2, then the value of cos A is

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 9

Tanθ = Perpendicular / Base
We are given that TanA = 3/2
On comparing
Perpendicular = 3
Base = 2
To fing hypotenuse
Hypotenuse2 = Perpendicular2 + Base2
Hypotenuse2 = 32 + 22
Hypotenuse =
Hypotenuse = 3.6

Cosθ = Base / Hypotenuse
CosA = 2 / 3.6
Hence the value of Cos A is 2/3.6=2/√13

NTSE Test: Introduction To Trigonometry - Question 10

If 3 cot θ = 2, then the value of tan θ

Detailed Solution for NTSE Test: Introduction To Trigonometry - Question 10

3 cot θ = 2 ⇒ cot θ = 2/3 ⇒ tan θ = 3/2

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests
Information about NTSE Test: Introduction To Trigonometry Page
In this test you can find the Exam questions for NTSE Test: Introduction To Trigonometry solved & explained in the simplest way possible. Besides giving Questions and answers for NTSE Test: Introduction To Trigonometry, EduRev gives you an ample number of Online tests for practice

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests