Periods & Start Value
y =
3sec(x / 2 + 2pi / 3) + 4
4pi
- 4pi / 3
sin- 1
(-sqrt2 / 2)
- pi/4
csc sin- 1 9/14
14/9
If m<A = 50 and c = 5, find m<B
m<B = 40
Sean & Shawn are climbing El Capitan, a big wall in Yosemite National Park. Sean is on the ground holding the 40 foot rope attached to Shawn. If the rope makes a 35 degree angle with the rock wall, how high has Shawn climbed?
32.8 ft
y =
9cot(x/5 + 5pi / 6) + 1
5pi
- 25pi/6
cos- 1(sin - pi/3)
5pi/6
sec sin- 1 1/3
(3sqrt2) / 4
If m<A = 74 and
c = 5, find m<B and b.
m<B = 16 and b = 1.4
Eddi is flying a kite and lets all 250 feet of string out. The angle of the string to the ground measures 55 degrees. How high is the kite in the air?
204.8 feet
y =
6sin(4x + pi/4) - 4
pi/2
- pi/16
cos- 1(cot 3pi/4)
pi
cot sin- 1 11/13
(4sqrt3) / 11
If b = 13 and a = 4, find m<A and m<B
m<A = 17.1 and m<B = 72.9
The center pole that holds up a circus tent is 70 feet tall. A support cable needs to be attached to the top of the pole so that the base forms a 60 degree angle with the ground. How far from the pole should the cable be attached?
40.4 ft
y =
5tan(2x - 2pi/3) + 1
pi/2
pi/3
tan- 1(sin pi/2)
pi/4
cot cos- 1 5/8
(5sqrt39) / 39
If m<A = 34 and
a = 8, find m<B, b, and c.
m<B = 56, b = 11.9, and c = 14.3
Mika was playing frisbee with her dog and accidentally threw the frisbee on top of a 10-foot shed. If Mika uses an 18-foot ladder, what is the angle the ladder makes with the shed?
56.3 degrees
y =
5cos(7x - pi/3) - 3
2pi/7
pi/21
tan sin- 1
(cos 5pi/6)
- sqrt 3
tan sin- 1 (x + 1)
(x + 1) / (sqrt (- x2 - 2x))
OR
(x + 1)(sqrt(- x2 - 2x)) / (- x2 - 2x)
If b = 12.1 and
a = 4, find m<A, m<B, and c.
m<A = 18.3, m<B = 71.7, c = 12.7
Find the equation of motion for a mass attached to a spring if it takes about 3.3 seconds to return to its original position and is released from rest at 0.15 meters away from equilibrium. Round to the nearest thousandths. Let t represent time & y represent height.
y = 0.15 cos1.904t