#1 The Unit Circle
cos 0 =
arccos 0 =
What is pi/2?
This is the period of the basic tangent graph
What is pi?
This is the function we get when we divide the hypotenuse by the opposite side of a right triangle
What is cosecant?
This is the number of times the graph of a trigonometric function completes in a distance of 2pi
What is the frequency?
sin (pi/4) =
What is sqrt(2) over 2?
arctan 1 =
What is pi/4?
Given y = - sin (2x + pi) - 3, identify the amplitude
What is 1?
The sides of a right triangle are 5 and 7, find the hypotenuse
What is sqrt 74?
The name we give to angles that share the same initial and terminal sides
What are co-terminal angles?
tan (pi/2) =
What is undefined?
arcsin -1/2 =
What is -pi/6?
Identify where two of the vertical asymptotes of the basic cotangent graph hit on the x-axis (in terms of pi)
What are -2pi, -pi, 0pi, pi, 2pi, etc?
Find the measure of the angle (in degrees) in a right triangle if the side adjacent to the angle is 4 and the hypotenuse is 12. Round your answer to two decimal places.
What is 70.53 degrees?
These lines are drawn on the graph for where the function is undefined
What are vertical asymptotes?
sec (4pi/3) =
What is -2?
sin (arcsin 3pi/2) =
What is -pi/2?
Given y = sec (2x + pi/5) - 3, identify the phase shift and its direction
What is pi/10 to the left?
A ship is 10,000 feet offshore away from a lighthouse. The top of the lighthouse is 450 feet above water level. What is the angle of elevation from the ship to the top of the lighthouse? Round your answer to two decimal places.
What is 2.58 degrees?
This is the acute angle that the terminal ray of any angle makes with the closest x-axis
What is the reference angle?
cot (29pi/6) =
What is sqrt(3)?
What is 4*sqrt(41) over 41?
See graph
When an airplane leaves the runway, its angle of climb is 15 degrees and its speed is 300 feet per second. Find the planes altitude (or height) after 1 minute from take-off. Round your answer to two decimal places.
What is 4658.74 feet?
This is the equation used to find the arc length that a central angle intercepts in a circle of radius r