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Exercise 1

Express the following angles in degrees:

1 $\text{[math]}$ rad

2 $\text{[math]}$ rad.

3 $\text{[math]}$ rad.

Exercise 2

Express the following angles in radians:

1 $\text{[math]}$

2 $\text{[math]}$

3 $\text{[math]}$

Exercise 3

Calculate the trigonometric ratios of the following angles:

1 $\text{[math]}$

2 $\text{[math]}$

3 $\text{[math]}$

4 $\text{[math]}$

5 $\text{[math]}$

6 $\text{[math]}$

Solution of exercise 1

Express the following angles in degrees:

1 $\text{[math]}$ rad

$\text{[math]}$ $\text{[math]}$

2 $\text{[math]}$ rad.

$\text{[math]}$

3 $\text{[math]}$ rad.

$\text{[math]}$

Solution of exercise 2

Express the following angles in radians:

1 $\text{[math]}$

$\text{[math]}$

2 $\text{[math]}$

$\text{[math]}$

3 $\text{[math]}$

$\text{[math]}$

Solution of exercise 3

Calculate the trigonometric ratios of the following angles without using a calculator: (all the angles are in degree)

1 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in third quadrant, only $\text{[math]}$ will be positive.

2 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in fourth quadrant, only $\text{[math]}$ will be positive.

3 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in second quadrant, only $\text{[math]}$ will be positive.

4 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in third quadrant, only $\text{[math]}$ will be positive.

5 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in third quadrant, only $\text{[math]}$ will be positive.

6 $\text{[math]}$

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Since the angle is in fourth quadrant, only $\text{[math]}$ will be positive.

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Trigonometric Angles Worksheet

Exercise 1

Exercise 2

Exercise 3

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Trigonometric Values

Trigonometric Identities

Trigonometric Ratios

Trigonometric Formulas

Systems of Simultaneous Trigonometric Equations

Unit Circle

Sine and Cosine Law

Solving Right Triangles

Even-Odd Identities

Oblique Triangles

Pythagorean Identities

Measurement of Angles

Other Trigonometric Identities

Trigonometric Equations

Cofunction Identities

Trigonometric Identities Problems

Oblique Triangle Word Problems