Class WorkFind the exact value of cot 330

Find sin2x, cos2x, and tan2x given tan x = -3/2 and 90 < x< 180

Class Work3. Find and 180 < x < 270

Section 7.4Inverse Trigonometric FunctionsObjectives:To define the inverse of the sine, cosine, and tangent functions.To understand the domain and range of the inverse trig functions.

Inverse Sine FunctionThe inverse of the function sin is the function sin1 defined by: sin1x = y sin y = x for 1 x 1 and /2 y /2.

Example 1. Find the exact value of the expression if it is defined:

sin1

sin1 ()

sin1 (3/2)

Class Work Find the exact value of the expression if it is defined:4.

5.

Inverse Cosine FunctionThe inverse cosine function is the function cos1 with domain [1, 1] and range [0, ], defined by: cos1 x = y cos y = x

Ex 2. Find the exact value of the expression if it is defined:

cos1

b) cos1 0

c) cos1 (5/7)

Class WorkFind the exact value of the expression if it is defined:6.

7.

Inverse Tangent FunctionThe inverse tangent function is the function tan1 with domain and range (/2, /2) defined by: tan1 x = y tan y = x

Ex 3. Find the exact value of the expression if it is defined:

tan1 1

tan1

tan1(20)

Class WorkFind the exact value of the expression if it is defined:

8.

9.

Ex 4. Find the exact value of the expression, if it is defined.

a.)

b.)

c.)

Class WorkFind the exact value of the expression, if it is defined.

10.

11.

Ex 5. Find the exact value of the expression, if it is defined.

a.)

b.)

c.)

Class WorkFind the exact value of the expression, if it is defined.

12.

13.

HW#4 p557 1,4,6,7,10,11,13,16,18,21,26,53,54