Reference Angles
The quadrant and reference angle for 280 degrees
What is 80 degrees, fourth quadrant
Find the sin (-pi/6)
What is -1/2 ?
A car tire make 7 complete rotations, each point turns through an angle of how many radians?
What is 14pi ?
Convert 225º to radians
What is 5pi/4
Find tan 4pi/3
What is √3?
A triangle in quadrant I has sides 8 (horizontal) and 6 (vertical), with a hypotenuse of 10. Theta is the angle between 10 and 8. Find secant of theta.
What is 5/4?
Samantha is painting her house. She rests a 10 foot ladder against the house, 6 feet above the ground. Find the sin, cos, and tan of the angle that the ladder makes with the ground.
What is sin= 3/5 cos= 4/5 tan= 3/4
Find an angle that is coterminal with 1040 such that 0≤theta≤360
What is 320º
Find the csc-30º
What is -2?
The terminal side of an angle "x" in standard positions passes through the point (3,4). Find the values of the six trig functions of angle "x".
What is sin x= 4/5 csc x =5/4 cos x = 3/5 sec x = 5/3 tan x = 4/3 cot x= 3/4.
A pendulum makes an angle of 2.5 radians as its tip travels 18 feet. What is the length of the pendulum?
What is 7.2 feet?
Find the arc length of a sector with the given information r=15 inches theta = 45º
What is 15pi/4
What is the reference angle and value of tan (5pi/4).
reference angle is pi/4
tan 5pi/4 = 1
Find cot(-2pi/3)
What is √3/3
The terminal side of an angle "x" in standard positions passes through the point (-15,8). Find the values of the six trig functions of angle "x".
What is sin x =8/17 csc x = 17/8 cos x =-15/17 sec x= -17/15 tan x =-8/15 cot x = -15/8.
A wheel with a diameter of 40 inches is rotated. If a point on the circumference of the wheel moves through an arc of 15 feet what is the measure of the angle (in radians) of the angle through which one spoke travels? (make sure you use same units)
What is 9 radians?
Name the amplitude, period, and midline for
y = -4sin(2x) + 3.
amplitude = 4
period = pi
midline y= 3
Find the reference angle and the value of sin(7pi/3)
Reference angle is pi/3
sin(7pi/3) = √3/2
Find the exact value of sec(11pi/6)
What is 2√3/3 ?
The terminal side of an angle "x" in standard positions passes through the point (-24,-7). Find the values of the six trig functions of angle "x".
What is sin x = -7/25 csc x = -25/7 cos x = -24/25 sec x = -25/24 tan x = 7/24 cot x = 24/7.
The maximum water level is 6 feet and about 12.5 hours later the minimum water level is 1.5 feet. What is the amplitude for a cosine function that models this behavior.
amplitude = 2.25
Label the first quadrant of the unit circle :)