Basic Trig Facts
The quadrant where cos(θ)<0 and sin(θ)>0.
What is Quadrant II?
This is the mnemonic device for remembering the three basic trigonometric ratios.
What is SOH CAH TOA?
The period of the function y=sin(x).
What is 2π?
The number of solutions for sin(x)=2 in the real number system.
What is zero/none?
This is the required information to use the Law of Sines.
What is ASA, AAS, or SSA (or two angles and one side)?
The radian measure equivalent to 240.
What is 34π?
Adjacent/Opposite is the ratio for this function.
What is cotangent?
The amplitude of the function y=3cos(2x).
What is 3?
The value of θ in the interval [0,2π) for which tan(θ)=1.
What is π/4 and 5π/4?
The Law of Cosines should be used to find a side when you are given this case.
What is SAS?
This is the reciprocal of the tangent function.
What is the cotangent?
Given a right triangle with an angle θ, Opposite = 5 and Hypotenuse = 13, this is the value of cos(θ).
What is 12/13?
The phase shift of the function y=tan(x−4π).
What is 4π units to the right?
The full set of solutions for sin(x)=0 (general solution).
What is x=nπ (where n is an integer)?
The "ambiguous case" in which you must check for 0, 1, or 2 possible triangles.
What is SSA?
This is the value of the expression sin2(θ)+cos2(θ).
What is 1?
The value of the secant of 30∘ in simplest radical form.
What is 2/sqrt3?
The equations for the vertical asymptotes of y=csc(x).
What is x=nπ (where n is an integer)?
The solutions to 2cos(x)−sqrt(3)=0 in the interval [0,2π).
What is π/6 and 11π/6?
The length of side a in a triangle with b=10, c=8, and A=60∘.
What is a=sqrt(84)=2sqrt(21)≈9.17?
What are Domain: [−1,1] and Range: [−π/2,π/2]?
This is the angle of elevation if a 50-foot shadow is cast by a 75-foot tree.
What is 56.3∘ (or arctan(50/75)?
The period of the function y=sec(4x).
What is pi/2?
These are the two solutions for sin(2x)=1/2 in the interval [0,π].
What are π/12 and 5π/12?
In a triangle with sides a=5, b=7, c=10, this is the measure of the largest angle (round to the nearest tenth of a degree).
What is arccos(-26/70)=111.8°?