Loading in 5 sec....

7.5 The Other Trigonometric FunctionsPowerPoint Presentation

7.5 The Other Trigonometric Functions

- 64 Views
- Uploaded on
- Presentation posted in: General

7.5 The Other Trigonometric Functions

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

7.5 The Other Trigonometric Functions

7.5 The Other Trig Functions

Objectives:

Evaluate csc, sec and cot

Vocabulary: Cosecant, Secant, Cotangent

Let be an acute angle of a right triangle.

7.5 The Other Trig Functions

7.5 The Other Trig Functions

A

S

30o

330o

x

T

C

Find the six trig functions of 330o .

[Solution] First draw the 330o angle.

Second, find the reference angle, 360o– 330o= 30o

To compute the trig functions of the 30o angle, draw the “special” triangle or recall from the table.

Determine the correct sign for the trig functions of 330o . Only the cosine and the secant are “+”.

Find the six trig functions of 330o .

[Solution] The six trig functions of 330o are:

7.5 The Other Trig Functions

Find the six trig functions of .

Before we write the functions, we need to determine the signs for each function. Remember “All Students Take Calculus”. Since the angle, , is located in the 3rd quadrant, only the tangent and cotangent are positive. All the other functions are negative..

y

A

S

x

T

C

7.5 The Other Trig Functions

We see that the angle is located in the 3rd quadrant.

0 radians

We know that is the same as 45 , so the reference angle is 45 . Using the special triangle.

A

Note that the reference angle is .

S

T

C

Find the six trig functions for .

We will first draw the angle to determine the quadrant.

7.5 The Other Trig Functions