Angles
Convert those to degrees:
a. pi/3
b. 3
a. 30 degree
b. 540/pi
what is cos and sin of (1/2, root 3/2) on the unit circle
cos = 1/2
sin= root 3/2
what is pythagorean Identity?
sin^2 + cos^2 = 1
what is the period of the function of f(x) = sin (pi/6 x)
12
Find an angle ββ that is coterminal with 19pi/4, where 0≤β<2pi.
The angle 3pi/4 is coterminal with 19pi/4
what is cos of a if angle b is 90, ab =15, ac=17, bc=8?
cos(a) = 15/17
cos(a) = 15/17
what does 1 + tan^2 equal to?
Determine the direction and magnitude of the phase shift for 𝑓(𝑥)=sin(𝑥+𝜋/6)−2.
shift left and down
C/B = -pi/6
What is the area of a sector with an angle of 30 degrees and the radius of 2
A=1/2 (radi)(r)^2
=pi /6 *4*1/2
=pi/3
sin(t) is -3/7 and t is in the fourth quadrant, find cos(t)
cos(t) = 2root10/7
what is the ab and ac when bc is 7, where a is 30 degree and b is 90 degree?
a= 12.1 7/tan(30 degree)
c=14
Determine the midline, amplitude, period, and phase shift of the function 𝑦=3sin(2𝑥)+1.
amplitude |A| = 3
P = 2pi/B = pi
phase shift = C/B = 0
midline is 1 = D
Find Reference Angles of 270 degrees
90 degree
what is cos(135 degree)
what is sec(30 degree)
cos = -root 2/2
sec = root3/2
To find the height of a tree, a person walks to a point 30 feet from the base of the tree. She measures an angle of 57 degree between a line of sight to the top of the tree and the ground. Find the height of the tree.
30*tan(57 degree) = 46.2 feet
sketch graph of
𝑓(𝑥)=−2sin(𝜋𝑥/2).
graph on board
what is negative coterminal angle of the positive coterminal angle of 19pi/4?
positive coterminal: 3pi/4
negative = -5pi/4
Use reference angles to find all six trigonometric functions of −5𝜋/6.
cos = -root 3/2
sin= -1/2
tan = root 3/3
sec = -2root3/3
csc = -2
cot= root 3
if sin(t) = 5/12, what is cos(pi/2 - t)
5/12
Evaluate
sin−1(cos(13𝜋/6))
cos(13pi/6) = root 3/2 =a
sin-1(a) = pi/3