Unit Circle
How much do the radians jump every 30 degrees
pi/6
In "SOHCAHTOA" what is "SOH"
Sin, Opposite over Hypotenuse
Name Pythagorean Theorem
a2 + b2 = c2
Name the angle of elevation
The angle from the horizontal upward to an object
What is the reference angle
The acute angle theta formed by the terminal side of theta and the horizontal axis
name the radians of 90 degrees and 180 degrees
pi/2, pi
What is the reciprocal of "Sine"
Cosecant(csc)
Which side is the hypotenuse
The side across from the right angle
name the angle of depression
The angle from the horizontal downward to an object
What is the terminal side of theta
The side formed by the angle
Name the coordinates of 180 degrees and 360 degrees
(-1, 0) and (1,0)
What is the reciprocal of Cos and Tan
Sec and Cot
Name the right triangle definitions of csc, sec, and cot
csc = hyp/opp
sec=hyp/adj
cot=adj/opp
If sec theta = 2, then what is sin theta
squareroot 3/2
How many quadrants are there
4
Name the 3 coordinates that stay the same but change signs
(1/2, square root3/2)
(squareroot2/2, squareroot2/2)
(square root3/2, 1/2)
If theta = Zero, than what is Sec(theta) 0
1
if a2 is 3 and b2 is 4 then what is c
c = 5
Which side is generally the elevation or depression side
The hypotenuse
Find the reference angle if theta = 300 degrees
theta = 60 degrees
Name the radians for 240 degrees, 150 degrees, and 315 degrees
4pi/3, 5pi/6, 7pi/4
Evaluate the 6 trig functions for theta (theta = pi/6)
sin = 1/2
cos = squareroot3/2
tan = squareroot3/3
csc = 2
sec = 2squareroot3/3
cot = square root3
Find csc of the previous problem
csc = 5/4
Use Trig to solve a right angle: A tourist is standing 115 feet from the base of the Washington Monument. The tourist measures the angle of elevation to the top of the monument as 78.3 degrees. How tall is the monument?
555 ft
Evaluate the trig func using reference angles:
cos 4pi/3
-1/2