Chapter 6 Trigonometry

Question 1

What is the range of the tangent function?

Answer 1

The range of the tangent function is all real numbers.

Question 2

What are the coordinates of a point on the unit circle at angle θ?

Answer 2

The coordinates are (cos θ, sin θ) for all θ.

Question 3

What is the first step in solving a trigonometric equation?

Answer 3

Use your calculator to find the 1st root.

Question 4

What is the second step in solving a trigonometric equation?

Answer 4

Find a 2nd root for sin or cos.

Using Unit Circle or drawing the graph of the function

Question 5

What is the third step in solving a trigonometric equation?

Answer 5

Find all other roots in the specified range.

Question 6

What is the periodicity of the sine function?

Answer 6

The sine function has a periodicity of 360°.

Question 7

What is the periodicity of the cosine function?

Answer 7

The cosine function has a periodicity of 360°.

Question 8

What is the periodicity of the tangent function?

Answer 8

The tangent function has a periodicity of 180°.

Question 9

What identities are true for all values of θ?

Answer 9

Question 10

What is the Sine rule for triangle ABC?

Answer 10

(Sine rule)

Question 11

What is the Cosine rule for triangle ABC?

Answer 11

a² = b² + c² - 2bc cos A

(Cosine rule)

Question 12

How do you calculate the area of triangle ABC?

Answer 12