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Definitions (x,y, & r)
Trig functions of any special angle
(w/o calculator)
Inverse Trig Functions of any special angle
(w/o calculator)
Solve for an angle in specified quadrant
Application
100
Given (3,4) on the terminal side of an angle X, Find sin X.
What is 4/5
100
Evaluate Sin 60° without a calculator. (NO Decimals)
What is √3/2
100
Find X in quadrant I such that sin X = 1/2
What is 30
100
Find X in quadrant I if sin X = .4188
What is 24.8
100
If an 8 foot tall stop sign casts a shadow 20 feet long. Find the angle of elevation from the end of the shadow to the sun.
What is 21.8
200
Given (-8,-15) on the terminal side of an angle X, find Cos X.
What is -8/17
200
Evaluate Cos 225° without a calculator. (NO Decimals)
What is -√2/2
200
Find X in quadrant III such that cos X = -1/2
What is 240
200
Find X in quadrant II if cos X = -.2145
What is 102.4
200
What angle does a 20 foot ladder form with the ground if the base of the ladder is 7 feet away from the wall?
What is 69.5
300
Given (4,-5) on the terminal side of an angle X, find Cos X
What is 4/√41
300
Evaluate Tan 120° without a calculator. (NO Decimals)
What is -√3
300
Find all angles X the first rotation such that sin X = 1
What is 90
300
Find X in quadrant IV such that tan X = -2.38
What is 293
300
What is the launch angle of a ramp if the length of the ramp is 40 feet and the height of the ramp is 16 feet?
What is 23.6
400
Given (-5,8) on the terminal side of an angle X, Find Tan X.
What is -8/5
400
Evaluate Sec 11
What is 2√3/3
400
Find X in quadrant IV such that csc X = 2√3/3
What is 300
400
Find X in quadrant III such that Cos X = -.7539
What is 221
400
From a 100 foot high balcony you spot your classmate 1 mile away from your building. What is the angle of depression to your classmate?
What is 1.9 (make sure you use 5280 ft instead of miles)
500
Given (-2,4) on the terminal side of an angle X, Find cos X.
What is -2/√5 or -2√5/5
500
Evaluate Sin
What is 1
500
Find all X, such that cos X = 0
What is 90 & 270
500
Find X such that 0
What is 38, 218, 398
500
Find the angle a ramp forms with the ground if the ramp is 87 feet long and the horizontal change of the ramp is 60 feet.
What is 46.4