Free Printable Mastering Trigonometry Concepts

1.

Identify the type of triangle

a)

Isosceles Triangle

b)

Right angled Triangle

c)

Acute angled Triangle

d)

Obtuse angled Triangle

2.

Cosec 30°

a)

1/2

b)

2/√3

c)

√3/2

d)

2

3.

Tangent θ

a)

8/15

b)

15/8

c)

15/17

d)

8/17

4.

Simplify (sec²x)(1 - sin²x)

a)

-cos(x)

b)

1

c)

-1

d)

-sin(x)

5.

$If\ 7\sin^2θ+3\cos^2θ=4\ then\tanθ=---$

a)

$\sqrt{3}$

b)

$\frac{1}{\sqrt{3}}$

6.

If Sin θ = cos θ, find the value of θ

a)

45⁰

b)

60⁰

c)

90⁰

7.

Value of Cot A ------if angle A is increased

a)

Increases

b)

Decreases

8.

Value of Sin A ------if angle A is increased

a)

Increases

b)

Decreases

9.

$1+\tan^2A$

a)

$Sec^2A$

b)

$Co\sec^2A$

10.

$Sin^2A+Cos^2A$

a)

1

b)

2

c)

0

11.

The value of sin A and cos A can never exceed 1

a)

TRUE

b)

FALSE

12.

The value of Cos 90 degree is 1

a)

TRUE

b)

FALSE

13.

If SinA=1/2 and CosA=1/2 then A+B is equal to :

a)

0°

b)

30°

c)

60°

d)

90°

14.

Given that $\sin\theta=\frac{a}{b}\ then\ \tan\theta=?$

a)

$\frac{b}{\sqrt{b^2-a^2}}$

b)

$\frac{\sqrt{b^2-a^2}}{b}$

c)

$\frac{a}{\sqrt{b^2-a^2}}$

d)

$\frac{\sqrt{b^2-a^2}}{a}$

15.

$Tan^2A-Sec^2A=$

a)

0

b)

1

c)

-1

16.

Simplify.

a)

csc²θ

b)

sec²θ

c)

cscθ

d)

1

17.

Simplify.

a)

sin²θ

b)

cosθ

c)

tanθ

d)

1- sin²θ

18.

If Cosec (A+ B) = 2/√3, sec(A-B)=2/√3

0°<A+B≤90°,

Find A and B.

a)

15° , 45°

b)

30°, 30°

c)

45°, 15°

d)

20°,40°

19.

sin 2A = 2 sin A is true when A =

a)

30°

b)

45°

c)

0°

d)

60°

20.

If cos X = a/b, then sin X is equal to:

a)

(b²-a²)/b

b)

(b-a)/b

c)

√(b²-a²)/b

d)

√(b-a)/b

21.

What is the value of sin(30°)?

a)

0.5

b)

0.25

c)

1

d)

0

22.

Calculate cos(45°).

a)

√2/2

b)

1/2

c)

0

d)

√3/2

23.

If a right triangle has one angle of 30° and the hypotenuse is 10, what is the length of the opposite side?

a)

5

b)

8

c)

7

d)

3

24.

Using the Pythagorean theorem, find the length of the hypotenuse if the other two sides are 6 and 8.

a)

10

b)

8

c)

14

d)

12

25.

What is the sine of an angle in a right triangle?

a)

The sine of an angle is the length of the opposite side.

b)

The sine of an angle is the ratio of the hypotenuse to the adjacent side.

c)

The sine of an angle is the ratio of the opposite side to the hypotenuse.

d)

The sine of an angle is the ratio of the adjacent side to the hypotenuse.

26.

If sin(θ) = 0.5, what is the angle θ in degrees?

a)

90°

b)

120°

c)

30°, 150°

d)

60°

27.

Calculate the distance from a point to the top of a 50-meter tall building if the angle of elevation is 30°.

a)

25 meters

b)

100 meters

c)

50 meters

d)

50√3 meters

28.

What is the cosine identity for the sum of two angles?

a)

cos(A + B) = cos(A - B)

b)

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

c)

cos(A + B) = sin(A)sin(B) + cos(A)cos(B)

d)

cos(A + B) = cos(A) + cos(B)

29.

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

a)

7

b)

5

c)

6

d)

8

30.

Find the angle θ if tan(θ) = 1.

a)

45° or 225°

b)

90°

c)

60°

d)

30°

31.

What is the relationship between sine and cosine for complementary angles?

a)

cos(θ) = sin(90° + θ) for complementary angles.

b)

sin(θ) = sin(90° - θ) for complementary angles.

c)

sin(θ) = cos(θ) for all angles.

d)

sin(θ) = cos(90° - θ) for complementary angles.

32.

If the angle of elevation to the top of a tree is 45° and you are standing 10 meters away, how tall is the tree?

a)

5 meters

b)

10 meters

c)

15 meters

d)

20 meters

33.

Using the identity sin²(θ) + cos²(θ) = 1, find cos(θ) if sin(θ) = 0.6.

a)

0.9

b)

1.0

c)

0.5

d)

0.8

34.

What is the value of tan(60°)?

a)

1

b)

√3

c)

√2

d)

0

35.

If a right triangle has an angle of 60° and the adjacent side is 5, what is the length of the opposite side?

a)

10

b)

3√5

c)

5

d)

5√3

Mastering Trigonometry Concepts

Total questions: 35

Worksheet time: 21mins

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