SOH CAH TOA
In a right triangle, which trig ratio is defined as Opposite / Hypotenuse?
Sine
What is the reciprocal of the Sine function?
Cosecant
True or False: The Law of Sines can be used on non-right (oblique) triangles.
True
On the Unit Circle, the x-coordinate of a point represents which trig function?
cosine
What is the standard period of the graphs y = sin(x) and y = cos(x)?
2pi or 360^circ
Find the length of the hypotenuse if the side opposite a 30-degree angle is 5
10
If \sec(\theta) what os \cos(\theta) = 3/5 ?
5/3
In \triangle ABC, if A=30^circ, a=10, and B=45^circ , set up the ratio to find side b
10/sin(30)=b/sin(45
Evaluate the exact value of sin(270)
-1
What is the amplitude of the function y = -3cos(2x)
3
You are looking up at a tree with an angle of elevation of 40 degrees. You are 20 feet from the base. Which trig function helps you find the height? (SETUP THE FORMULA)
Tangent: tan(40)=y/20
If \tan(\theta)=4 then what is \cot(\theta) ?
1/4
Find side c if C=100^circ, A=20^circ, and a=5
c = (5 * sin(100)) / sin(20) approx 14.4
Find the exact value of cos(pi/3)
1/2
Which of the three parent trig functions has vertical asymptotes at
pi/2 and -pi/2
tangent
Solve for the missing angle $\theta$ if the side adjacent is 7 and the hypotenuse is 12.
cos^{-1}(7/12) \approx 54^\circ
Which reciprocal function is undefined when \cos(\theta) = 0
Secant
When solving for a missing angle using Law of Sines, what calculator operation is needed for the final step?
Inverse Sine
If a point is in Quadrant II and the y-coordinate is sqrt(3)/2 , what is the x-coordinate?
-1/2
What is the period of the function y = sin(4x)
pi/2
Find the side adjacent to a 25-degree angle if the opposite side is 10
10 / \tan(25) \approx 21.4
Simplify \cos(\theta)*\sec(\theta)
1
In \triangle ABC B=44^circ, A=67^circ, a=15. Find side c.
c=(15*sin(69^circ))/sin(67^circ)
At theta = pi , which two trig functions are undefined?
csc and cot.
Describe the phase shift and vertical shift of: y = cos(x - pi/4) + 2
Right pi/4 and up 2 up.