Trig Functions
Inverse Trig
Trig Compositions
Law of Sin/Cos Word Problems
Trig Word Problems
100
sin(pi/4)
What is square root(2) divided by 2
100
What is arcsin(square root (3)/2)
What is pi/3
100
cos(arcsin(3/5))
What is 4/5
100
In triangle ABC, A = 118 degrees, B = 22 degrees, and c = 24. Find side b.
What is b = 14
100
What is the tan value of the smallest angle in a 3-4-5 triangle
What is 3/4
200
cos(4pi/3)
What is -1/2
200
What is arcsin(-1/2)
What is -pi/6
200
arccos(sin pi/3)
What is pi/6
200
In triangle QRP, p = 18mi, q = 28 mi, and R = 17 degrees. Find r.
What is r = 12 mi
200
Given a right triangle ABC with A = 40°, C = 90°, and b = 2, determine the missing parts a, c, and B.
What is B = 50°, c = , a = 1.678, c = 2.611
300
tan(pi)
What is 0
300
arccos(-1/2)
What is 2pi/3
300
sin(arctan(1/4))
What is 1/squareroot(17) = square root(17)/17
300
In triangle ABC, a = 14, b = 9, and c = 6. Find Angle B.
What is B = 26 degrees.
300
A little boy is flying a kite. The string of the kite makes an angle of 30 degrees with the ground. If the height of the kite is h = 24 m, find the length (in meters) of the string that the boy has used.
What is 48 m
400
What is tan (3pi/4)
What is -1
400
arctan(0)
What is 0
400
sin(arcsin(5pi/6))
What is pi/6
400
Two radar stations are 2.4 miles apart and are tracking an airplane. The distance between station A and the plane is 7.4 miles. The distance between station B and the plane is 6.9 miles.What is the angle of elevation from station A to the plane? Round to the nearest degree.
What is 69 degrees
400
At 10 am on April 26, 2006, a building 300 feet high casts a shadow 50 feet long. What is the angle of elevation of the Sun?
What is 80.538 degrees
500
tan(pi/6)
What is square root (3) divided by 3
500
arctan(- square root (3))
What is - pi/3
500
tan(arccos(0))
What is undefined
500
Two cars start at the same location and drive on courses that make a 50 degree angle with each other. If Car A is traveling 60 mph and car B is traveling 40 mph, how far apart are they after 30 minutes.
What is 23 miles.
500
You are stationed at a radar base and you observe an unidentified plane at an altitude h = 2000 m flying towards your radar base at an angle of elevation = 30 degrees. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation = 60 degrees maintaining the same altitude. What is the speed (in m/s) of the plane?
What is 38.49 m/s
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