True or false: a Sine function is equal to a Cosine function shifted over by 90 degrees
True
What is sine(0)?
The special right triangle that has one angle of 30 has what other angle values?
90 and 60
true or false: the law of sines applies only to right triangles
False
What is the name of the theorem
a2+b2=c2
Pythagorean theorem
the ratio of sine over cosine of an angle.
According to Charlie, what is the significance of the tangent function in a unit circle?
An isosceles right triangle always has what angles?
45, 45, 90
Given a triangle with lengths 1, 1, and sqrt(2), what type of triangle is this?
isosceles right triangle
A line that splits another line in half is called a _____ line
What is the law of Sines?
Sin(a)/A=Sin(b)/B=Sin(c)/C
What is sin(90+x) equivalent to, expressed as a cosine function?
Cos(x)
7*sqrt(2)
True or false: you can use the law of cosines to solve for all the angles of a triangle given all three sides.
True
What is Newton's universal law of Gravitation?
A function that follows the pattern of a sine graph is called a ______ function (not trigonometric)
Sinusoidal
Name 3 points at which tangent is undefined, in degrees.
Given a 30-60-90 triangle, if the shortest leg has length 1, what are the lengths of the other sides?
sqrt(3)/2 and 2
you have a triangle for which the sine of all the angles are the same. What type of triangle is this, and what is the ratio of the side lengths?
Equilateral, 1:1:1
Two _______ angles add up to 90, and two ______ angles add to 180
Complementary, supplementary
What is the law of Cosines?
A2=B2+C2-2BC*cos(a)
At any point on the Unit Circle, sin2(x)+cos2(x) is equal to what number?
bonus point: what is this rule called?
1
Bonus: Pythagorean identity
What law could you use to solve for the remaining lengths of a right triangle if you were given three angles and a side length?
Bonus: what if you were given three lengths? How could you solve for the remaining angles?
Law of Sines
Bonus: Law of Cosines
You are given a triangle with angles a, b, and c, and sin(a)=cos(b), cos(a)=sin(b). If the third angle is a right triangle, what is a+b?
90
The sub-field of physics that theorizes the randomness of atomic particles is called _____ physics
Quantum