Finding the Quadrant
Law of Sines
Reference Triangle and Residual Angles
Converting Radians and Degrees
Random
100
In which quadrant will 5π/4 lie?
Quadrant III
100
c=6.02
100
What is the residual angle for a rotation of 120o?
60o
100
Convert 45 degrees to radians.
π/4 radians
100
Given two side lengths of a right triangle, how can you find the length of the third side?
Using Pythagorean theorem
200
In which quadrant does 7π/6 lie?
Quadrant II
200
What is the formula for the Law of Sines? (2 parts are enough)
a/sin(A) = b/sin(B)
200
What is the value of sin π/6?
1/2
200
What is the equivalent of 3π/2 radians in degrees?
270 degrees
200
If given an angle between 2 sides, name the formula calculates the 3rd side?
the Cosine Rule
300
What quadrant satisfies the following requirements:
Sin is negative and Tan is positive.
Quadrant III
300
Write the Law of Sines to find the size of a missing angle? (write as 2 fractions)
sin(A)/a = sin(B)/b
300
What is the value of sin 45?
1/root2
300
Convert 120 degrees to radians.
2π/3 radians
300
How many degrees are in the sum of the interior angles of a triangle?
180 degrees
400
In which quadrant does 3π/2 lie? Explain
It does lie in any quadrant. It lies between quadrants I and II.
400
If given that a/sin40 = 10/sin50, write the formula for a =
a= 10sin40/sin50
400
What is the residual angle for 11π/6?
π/6
400
What is the equivalent of π/6 radians in degrees?
30 degrees
400
If you know the lengths of all three sides of a triangle, write the formula you can use to find the size of angle C? (start the formula with Cos C=)
Cos C=(a2+b2-c2)/2ab
500
In which quadrant(s) is Cos positive?
Quadrants I and IV
500
If sinA/a=sinB/b, write the formula for A=
A=sin-1(asinB/b)
500
If the answer is root3/2, what is the trig ratio in radians?
cos π/6 and sin π/3
500
Convert 5π/4 radians to degrees.
225 degrees
500
If you know the measures of two angles in a triangle, how can you find the measure of the third angle?
Subtract the sum of the two known angles from 180 degrees.