Chapter 5 Review

1.) If there is an angle in standard position of the measure given, in which quadrant does the terminal side lie? Quad III Quad IV Quad II Quad I

2.) Change angle measure to radian measure in terms of π, or degree measure Degrees to radians π/180 Radians to degrees 180/π

4.) Change the given angle to a degree measure rounded to the nearest tenth. 1.52°25’ °3’45” 3.5°5’123”

5.) Find the reference angle for each angle. Reference angle is the acute angle formed with the x-axis And it is always positive

5.) Find the reference angle for each angle. Reference angle is the acute angle formed with the x-axis And it is always positive! θ -150° θ θ θ

Find a positive and a negative coterminal angle for each given angle. ADD 2π OR SUBTRACT 2π

Find the measure of each angle in red using the green angle given.

Find the length of each arc. Round your answers to the nearest tenth. REMEMBER YOU MUST BE IN RADIANS

Find the length of each arc. Leave your answer in terms of π REMEMBER YOU MUST BE IN RADIANS

Find the area of each sector. Round your answers to the nearest tenth. REMEMBER YOU MUST BE IN RADIANS

Find the area of each sector. Leave your answer in terms of π REMEMBER YOU MUST BE IN RADIANS

I will give you one trig function’s value, and I will tell you in which quadrant the terminal sides lies, YOU TELL ME THE 5 OTHER TRIG FUNCTIONS. 1. cos θ = 3/5 quadrant I 1. sin θ = -2/3 quadrant IV θ θ -2 3

Find the exact value, WITHOUT USING A CALCULATOR!

Solve each triangle. Round answers to the nearest tenth. Use your trig ratios And Pythagorean theorem

Solve each triangle. Round answers to the nearest tenth. Use your trig ratios And Pythagorean theorem

18.) Use the Law of Sines to solve each triangle. Round your answers to the nearest tenth.

Use the Law of Cosines and solve the triangle complety:

Find the area of each triangle:

C B A FIRST FIND THE LAST ANGLE BY SUBTRACTING FROM 180 SECOND, DECIDE WHICH OF THE THREE FORMULAS YOU WOULD USE Given two angles and a side

Find the area of the triangle with sides 31, 44, and 60 units: GIVEN THREE SIDES = HERO’S FORMULA

Find the area of each triangle: 1.A = 20°, a = 19, C = 64° 1.a = 5, b = 7, c = 9 2.a = 11.7, b = 13.5, C = 85°20’ 3.A = 42°, B = 65°, a = 63

28.) Find the area of a circular segment to the nearest tenth if the measure of its central angle is 135° and the measure of its radius is 6.9 units. Θ = central angle in radians r = radius