Inverse Trig Equations
Find all the angles, x , when 0 < x < 360 for:
sinx = 1/2
30deg, 150deg
28.87 feet
What is the formula for the Law of Sines?
a/sinA = b/sinB = c/sinC or
sinA/a = sinB/b = sinC/c
What formula for the Law of Cosines should I use if I want to find side a?
a^2 = b^2 + c^2 - 2abcos(A)
Solve: 3 sqrt(x+5) = 9
x = 4
Find all the angles, x , when 0 < x < 2pi, for
2cosx + 1 = 0
2pi/3, 4pi/3
You are standing on an 80 foot cliff. There is a sail boat 200 feet away from the top of the cliff. What is the angle of depression from the top of the cliff to the sail boat? (round to 2 decimals)
23.58 degrees
Given a = 8, A = 40deg, B = 60deg, find side b. (round to two decimals)
10.78
Given a = 8, b = 11, and C = 37deg, find side c. (round to two decimals)
6.66 deg
Factor: x^3 + 3x^2 + 2x + 6
(x^2 + 2)(x+3)
Find all the angles, x, when 0 < x < 360 for
tanx=0
0deg, 180deg, 360deg
Given the following coordinate points, find a trig equation. (use a calculator, round to two decimals) :
(1, 32), (2, 34), (3, 43), (4, 57), (5, 69), (6, 78),
(7, 82), (8, 86), (9, 72), (10, 60), (11, 48), (12, 36)
26.27sin(0.52x - 2.16) + 57.90
Given a = 18, b = 20, A = 26deg, find angle C. (round to 2 decimals)
124.85deg
angle A = 84.26 deg
(8x^3 - 4x^2)/ (2x^2)
4x - 2
Find all the angles, x, where 0 < x < 2pi for
2tan^2(x) - 6 = 0
pi/3, 2pi/3, 4pi/3, 5pi/3
A person is standing 12 feet away from a 14 foot tall lamp post. The angle of elevation, from their eyes, is 36.9 degrees. How tall is the person? (round to the nearest whole foot)
5 feet tall
Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices airplane B is 45 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of airplane B notices that airplane A is 50 degrees to his left. Based on that information, how far away from the airport is airplane B? (round to 2 decimal places, include units)
18.46 miles
Tom, Dan, and Harry are setting up camp in their own tents. Tom has set up his tent 153 feet away from Dan's tent, and 201 feet away from Harry's tent. Dan and Harry are 175 feet apart. What is the angle between Dan, Harry, and Tom? (round to 2 decimal places)
47.40 degrees
Graph f(x) = 3^(x-2) + 4
asymptote at y = 4, points (2,5) and (3,7)