Triangles
The side lengths of a right triangle are 3 and 4 with a hypotenuse of x.
x=5
What are the coordinates to 60 degrees?
[1/2, sqrt 3/2]
What is the definition of radian?
An angle whose corresponding arc in a circle is equal to the radius of the circle.
2pi/3 radians
120 degrees
What is the radian of 210 degrees?
7pi/6
Give all the formulas to find the missing angle of a right triangle
Angle= sin^-1(opp/hyp) Angle= cos^-1(adj/hyp) Angle= tan^-1(opp/adj)
What are the coordinates for 0, 90, 180, and 270 degrees?
(1,0), (0,1), (-1,0), (0,-1)
When is an inverse trig function needed?
When a length is known and an angle measure is needed.
3pi/4, pi/4
135 and 45 degrees
225 degrees and 45 degrees are equal to?
5pi/4, pi/4
Given a right triangle with a hypotenuse of 8 and 6 as the opposite, find the missing angle.
sin^-1(6/8)= 48.6
Give the middle coordinate in the first and third quadrant
Q1= [sqrt2/2, sqrt2,2] Q3= [-sqrt2/2, -sqrt2/2]
Identify what quadrant, is for example (-,+)
[-sqrt3, 1/2]
150 degrees
0, 90, 180, and 270 degrees in radian
2pi, pi/2, pi, 3pi/2
You're given a right triangle with a hypotonus of x; the opposite is a side length of 5. You are also given angle A 34 degrees. Solve for x.
x=8.9
What are the coordianates to radian pi/6, 11pi/6, and 135 degrees
[sqrt3/2, 3/2], [sqrt3/2, -1/2], and [-sqrt2/2, sqrt2/2]
With a hypotenuse of 7 and 4 as the adjacent side find the missing angle A
Angle A= cos^-1(4/7)= 55.2
[-1/2, sqrt3/2], 4pi/3, 5pi/3
120, 240, 300 degrees
What is the radian for degrees 300, 315, and 330
5pi/3, 7pi/4, 11pi/6
Given a right triangle with angles X, Y, Z, a hypotenuse of 8, and adjacent 5. Solve all the angles and sides.
Angle X: 90 degrees Angle Y: 51.3 Angle Z: 38.7
Side XY: 5 Side YZ: 8 Side XZ: 6.2
150 degrees, 5pi/3, 315 degrees, 11pi/6, 120 degrees
[-sqrt3/2, 1/2], [1/2, -sqrt3/2], [sqrt2/2, -sqrt2/2], [sqrt3/2, -1/2], [-1/2, sqrt3/2]
Give all the angles and coordinates for the third quadrant
Angles: 210, 225, 240, 270 degrees
Coordinates: [-sqrt3/2, -1/2], [-sqrt2/2,-sqrt2/2], [-1/2,-sqrt3/2], 3pi/2
Draw and fill out all the degree measures in the unit circle
0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330 degrees
What is the radian of [-sqrt3/2, 1/2] and [-1/2, sqrt3/2]
5pi/6 and 2pi/3