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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