Trig. of Right Triangles
This is the opposite side over the adjacent side of a right triangle.
What is the tangent?
This is the Pythagorean Identity that involves sine and cosine.
What is sine squared + cosine squared = 1?
The Law of Sines.
What is sin(A)/a=sin(B)/b=sin(C)/c?
For example, pi/2 and pi/3.
What are angles?
The set of all the positive and negative counting numbers, including zero (represented by a fancy Z).
What is the set of integers?
This is the adjacent side over the hypotenuse of a right triangle.
What is the cosine?
This identity relates the secant to the cosine.
What is secant = 1 / cosine?
The Law of Cosines.
What is a^2=b^2+c^2-2(b)(c)cosA? (or other variations)
The equation for the unit circle.
What is x squared + y squared = 1?
The set of all inputs of a function that give a defined output.
What is the domain of a function?
This is the opposite side over the hypotenuse of a right triangle.
What is the sine?
This Identity relates the cotangent to the tangent.
What is tangent = 1 / cotangent?
The bounds for sine and cosine.
What is [-1, 1]?
The tangent of an angle on the unit circle is the ratio of these two things.
What is y / x?
The set of all rational and irrational numbers.
What is the set of real numbers?
This is the adjacent side over the opposite side of a right triangle.
What is the cotangent?
This Pythagorean Identity relates the cosecant to the cotangent.
What is 1 + cotangent squared = cosecant squared?
Given a trig equation, when we show that the left hand side equals the right hand side.
What is verifying a trig identity?
The point on the circle for an angle of pi/6.
What is ([square root of 3]/2, 1/2)?
The set of all outputs of a function.
What is the range of a function?
This is the hypotenuse over the opposite side of a right triangle.
What is the cosecant?
This Pythagorean Identity relates the secant to the tangent.
Given a trig equation, when we solve for the possible values of the variable.
What is solving a trig equation?
What we call the angle measure in a circle with radius equal to the arc length opposite that angle.
What is a radian?
A function that has one unique y value for every x value in the domain.
What is a 1-to-1 function?