Chapter 4 Problems:
4.1­
A team of hikers must determine the width of a river in order to cross it using a ladder. If the
hikers walked 30 feet along the river from their crossing point and sight the crossing point at the
opposite side of the river at an angle of 40, how wide is the river?
4.2­
1) Find the area of a sector with an arc length of 50in and a radius of 12in.
2) Convert 11π/6 to degrees. Convert 225° to radians.
3) Find the arc length with a radius of 3 and arn measure of 68°.
4.3­
The given point lies on the terminal side of an angle theta in standard position. Find the values of
the six trigonometric functions of theta.
(3,5)
(­4,­3)
Find the exact value of the expression.
Cos (4ᵭ/3)
Tan (11ᵭ/6)
Find the exact values of the five remaining trigonometric functions of theta.
sin of theta = ­⅕, where cos theta > 0
4.4­
Graph the following functions:
1. y = 2 cos (x/2 + π/4) + 1
2. y = 3sin (x/4 − π/2) − 3
Write an equation that corresponds to each graph.
4.5­
Graph these functions:
y = 2tan (4x − π) + 1
y = 1/2csc(x/2) − 1
y = 4sec(x + π/4)
y = cot(3x + π) − 3
4.6­
cos−1 (2π/3)
sin−1 (2π/3)
tan−1 (− 1/√3) arcsin (sin (7π/3))
tan(cos−1(− 1/2))
4.7­
In , m<B = 80º, m<C = 34º and a = 16.
Solve the rest of the triangle
Use Law of Cosines to solve side length of A
Use Heron’s Formula to find area of triangle ABC.
AB = 3 , BC = 2, CA =4
Find area of the triangle
Find area of a right triangle