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This mock test of MCQ : Introduction To Trigonometry - 1 for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 MCQ : Introduction To Trigonometry - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

Solution:

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

QUESTION: 2

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

Solution:

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.

QUESTION: 3

The value of (sin 45° + cos 45°) is

Solution:

Since, sin 45= 1/√2 and cos 45= 1/√2

Therefore, sin 45 + cos 45 = 1/√2 + 1/√2 = 2/√2 = √2

QUESTION: 4

If tan θ = a/b then the value of

Solution:

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)

QUESTION: 5

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

Solution:

6cot+2cosec=cot+5cosec

6cot-cot=5cosec-2cosec

5cot=3cosec

5cos/sin=3/sin

cos=3/5

QUESTION: 6

Match the Columns:

Solution:

QUESTION: 7

9 sec^{2} A - 9tan^{2} A is equal to

Solution:

9 sec^{2} A - 9 tan^{2} A

= 9( sec^{2} A - tan^{2} A)

= 9 × 1

= 9

QUESTION: 8

The value of sin^{2} 30° - cos^{2} 30° is

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

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

Solution:

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

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