Class Work Find the exact value of cot 330

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Presentation transcript:

Class Work Find the exact value of cot 330 Find sin2x, cos2x, and tan2x given tan x = -3/2 and 90 < x< 180

Class Work 3. Find and 180 < x < 270

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

Inverse Sine Function The inverse of the function sin is the function sin–1 defined by: sin–1x = y  sin y = x for –1 ≤ x ≤ 1 and –π/2 ≤ y ≤ π/2.

Example 1. Find the exact value of the expression if it is defined: sin–1 ½ sin–1 (–½) sin–1 (3/2)

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

Inverse Cosine Function The inverse cosine function is the function cos–1 with domain [–1, 1] and range [0, π], defined by: cos–1 x = y  cos y = x

Ex 2. Find the exact value of the expression if it is defined: cos–1 b) cos–1 0 c) cos–1 (5/7)

Class Work Find the exact value of the expression if it is defined: 6

Inverse Tangent Function The inverse tangent function is the function tan–1 with domain and range (–π/2, π/2) defined by: tan–1 x = y  tan y = x

Ex 3. Find the exact value of the expression if it is defined: tan–1 1 tan–1 tan–1(–20)

Class Work Find the exact value of the expression if it is defined: 8

Ex 4. Find the exact value of the expression, if it is defined. a. ) b Ex 4. Find the exact value of the expression, if it is defined. a.) b.) c.)

Class Work Find 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. b.) c.)

Class Work Find 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