Trigonometry Function Definitions
Given that (x, y) is a point on a circle centered at the origin with radius r, what is y/r?
The ratio of variables equal to Sine.
What is sin 90 degrees?
1
What is radian measure of 180 degrees?
pi
What is 1/cos x?
sec x
On a unit circle, what is the x coordinate for 30 degrees?
√3/2
Given that (x, y) is a point on a circle centered at the origin with radius r, what is x/r?
The ratio of variables equal to Cosine.
What is cosine of 3pi/2?
0
What is radian measure of 90 degrees?
pi/2
What is 1/tan x?
cot x
On a unit circle, what is x coordinate for 60 degrees?
1/2
Given that (x, y) is a point on a circle centered at the origin with radius r, what is y/x?
The ratio of variables equal to Tangent.
What is sine of 7pi/4?
- √2/2
What is degree measure of 3pi/4?
135 degrees.
What is 1/sec x?
cos x
On a unit circle, what is y coordinate for 1620 degrees?
Given that (x, y) is a point on a circle centered at the origin with radius r, what is x/y?
The ratio of variables equal to Cotangent.
What is sine of -150 degrees?
-1/2 or -0.5
What is radian measure of 330 degrees?
11*pi/6
What is 1/csc x?
sinx
On a unit circle, what is x coordinate for -765 degrees?
-√2/2
Given that (x, y) is a point on a circle centered at the origin with radius r, what is r/y?
The ratio of variables equal to Cosecant.
What is cosecant of 2pi/3
2√3/3?
What is degree measure of 13pi/6?
390 degrees.
What is sin x/cos x?
tan x
On a unit circle, what is the y coordinate of 5 pi / 2?
1