ANSWERS. Using Trig in every day life. Check Homework.

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Presentation transcript:

ANSWERS

Using Trig in every day life.

Check Homework

PRE Lesson 7.4: Inverse Trig 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

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

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

Inverse Cosine

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

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

Inverse Tangent

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

Example 3. Find the exact value of the expression if it is defined: (a) tan –1 (1) (b) tan –1 ( ) (c) tan –1 (-20)

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

Classwork: Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

Classwork: Book; pg. 557: 1,4,6,7,10,11,13,16,18, 21, 26,53,54

Quiz Time