| Right Angle Trig | Trig of General Angles | Unit Circle | Graphing Trig Functions | Trig On Your Calculator |
|---|---|---|---|---|
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cos(θ) = adj/hyp
In SOHCAHTOA, what does CAH mean?
|
70º
What is the reference angle of 110º
|
1
In the unit circle, what is the value of the hypotenuse?
|
π/B
What is the formula to find the period of a tangent function?
|
Degree
When using your calculator to solve trig problems, you should always make sure that your calculator is set to _______ mode.
|
|
√74
Given that a right triangle has side lengths of 5 and 7, what is the hypotenuse? Give your answer in simplified form.
|
y
In the cartesian plane, the opposite side of θ is always which value, x or y?
|
x√2
In a 45-45-90 triangle, what is the formula to find the hypotenuse? Hint: x equals the side lengths.
|
4π
In the graph shown, identify the period.
|
.93
Given that the angle of θ is 68º, what is the sine ratio? Round your answer to the nearest tenth.
|
|
tan(θ) = 4/3
Assume that θ of a right triangle has an adjacent side of 6, opposite side of 8, and hypotenuse of 10. What is the tan(θ)? Give your answer in simplified form.
|
Quadrant II and IV
In which quadrant(s) is the tangent function always negative?
|
cosine
In the unit circle, the x-value of your coordinates represents which trig ratio?
|
6
Given the function f(x) = -4sin(π/3x)+9, find the period.
|
64º
What is the angle of θ given that cos(θ) = 7/16? Round to the nearest whole degree.
|
|
-4π/3
Convert -240º to radians.
|
Quadrant III
Given that sin(θ) = -7/11 and cos(θ) = -4/11, what quadrant does θ lie in?
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1/2
What is the sine of 5π/6 on the unit circle? Hint: convert to degrees first.
|
[-11,-7]
What is the range of the function f(x) = -2sin(1/5x)-9?
|
6.8
Assume that θ of a right triangle is 43º and the length of the adjacent side is 5. What is the length of the hypotenuse? Round to the nearest tenth.
|
|
3π/2
What is a coterminal angle of -5π/2 that is between 0π and 2π? Express your answer in radians.
|
sin(θ) = (-5√34)/34
Let (3,-5) be a point on the terminal side of angle θ in standard position. Evaluate sin(θ). Give your answer in simplified form.
|
90º and 270º
In what degrees of the unit circle is the tangent function undefined? Hint: undefined is anything divided by zero.
|
x = ±5π/4
For the function f(x) = 1/2tan(2/5x)+17, identify the equation of for asymptotes given -3π≤x≤3π
|
23.6 miles
An airplane traveling at 65º NE covered a total of 26 miles. How many miles due north did it travel? Round to the nearest tenth of a mile.
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