Trig Identities
This trig functions ratio is O/H
What is sine?
The ordered pair (-sqrt(2)/2, sqrt(2)/2) represents the point where the terminal side of an angle theta, intersects the unit circle. What is m<theta?
What is 135 degrees?
In which quadrant does the angle 112 ° lie in?
Quadrant 2
This is the reference angle to 112o
What is 68o?
This is the exact value of sin(pi/6)
This trig functions ratio is A/H
What is cosine?
The ordered pair (1/2, -sqrt(3)/2) represents the point where the terminal side of an angle, theta, intersects the unit circle. What is m< theta?
What is 300 degrees?
This angle is coterminal with 915o and is between 0o and 360o?
What is 195o
This is the reference angle to 320o
What is 40o?
This is the exact value of tan(pi/3)
What is rad(3)?
This trig functions ratio is O/A
What is tangent?
The terminal side of an angle contains the point (-2, 3). Find all 6 trigonometric ratios. All answers should be expressed with a rational denominator.
sin = 3rad(13)/13
cos = -2rad(13)/13
tan = 3/-2
csc = rad(13)/3
sec = rad(13)/-2
cot = -2/3
Are 120o and -240o coterminal? Explain.
Yes because 120-360 = 240
OR because -240+360 = 120
This is the reference angle to 5pi/4
What is pi/4?
What is rad(3)/2?
This trig ratio is the H/O
What is cosecant?
If sinA=-8/17 and cos A >0, find the remaining trig ratios.
cosA = 15/17
tanA = -8/15
cscA = 17/-8
secA=17/15
cotA = 15/-8
If sinA > 0 and cosA < 0, in which quadrant does angle A terminate?
Quadrant 2
This is the reference angle to 7pi/8
What is pi/8?
This is the exact value of tan(4pi/3)
What is rad(3)?
This trig ratio is H/A
What is secant?
The ordered pair (-0.8, -0.6) represents the point where the terminal side of an angle, theta, intersects the unit circle. What is theta to the nearest degree?
What is 217 degrees?
Quadrant 3
This is the reference angle to -9pi/2
What is 3pi/2?
This is the exact value of csc(11pi/6)