1. Evaluate the expression without the aid of a calculator ...

April 05, 2011

1. Evaluate the expression without the aid of a calculator.

a)

b)

c)

2. Find the exact value of the expression. (Hint: make a sketch of a right triangle.)

3. Find x and y without a calculator.

April 05, 2011

The next two weeks...

4/4 Review Activity

4/11

Chp 4 Q & A

4/5

4/6

Sec. 4.8 Applications (& supplement)

4/12

4/13

Chapter 4 Test

4/7

4/8

Sec. 4.8 Day 2 Review Chp. 4

4/14

4/15

Section 5.1 Identities

April 05, 2011

CONCEPT CHECKLIST Unit Circle: degrees, radians, coordinates for 1st quadrant Angles: coterminal, complementary, supplementary, reference Evaluate trig functions (exact values, from memory): ex. sin 30?=? Graph trig functions with transformations: sine, cosine, & tangent Graph reciprocal functions: csc (x), sec (x), cot (x) Identities: rewrite & simplify expressions using fundamental identities, co-function identities, & negative angle identities (even, odd) Inverse Trig functions: evaluate (arcsin (1/2)), graph sin-1x, cos-1x, tan-1x Trig Applications: Right Triangle Trig, Modeling w/ Trig Functions

April 05, 2011

Applications: Right Triangle Trig (and inverse trig)

1. A swimming pool is 20 meters long and 12 meters wide. THe bottom of the pool has a constant slant so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end. Find the angle of depression of the bottom of the pool.

2. A safety regulation states that the maximum angle of elevation for a rescue ladder is 72?. If a fire department's longest ladder is 110 feet, what is the maximum safe rescue height?

April 05, 2011

3. A surveyor in a helicopter is trying to determine the width of an island, as shown in the figure.

a) What is the shortest distance d the helicopter would have to travel to land on the island?

b) What is the horizontal distance x that the helicopter would have to travel before it would be directly over the nearer end of the island?

c) Find the width w of the island.

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