Trigonometric Basics
What is the longest side of a right triangle called?
Hypotenuse
What does SOH stand for?
Sine = Opposite / Hypotenuse
A right triangle has legs of 3 cm and 4 cm. Find the hypotenuse.
5 cm
Which law uses the formula a/sin A = b/sin B?
Law of Sines
Which law uses the formula c² = a² + b² − 2ab cos C?
Law of Cosines
How many degrees are in a right angle?
90°
What does CAH stand for?
Cosine = Adjacent / Hypotenuse
A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. Find the other leg.
12 cm
In a triangle, angle A = 50° and angle B = 60°. Find angle C.
70°
Can the Law of Cosines be used to solve a right triangle?
Yes
What is the sum of the interior angles of a triangle?
180°
What does TOA stand for?
Tangent = Opposite / Adjacent
A right triangle has an angle of 30° and a hypotenuse of 10 cm. Find the side opposite the 30° angle.
5 cm
In a triangle, A = 30°, B = 90°, and side a = 5 cm. Find side b.
10 cm
Two sides of a triangle measure 5 cm and 7 cm, with an included angle of 60°. Find the third side.
6.24 cm
What is the value of sin 30°?
0.5 or 1/2
A right triangle has an opposite side of 6 cm and a hypotenuse of 10 cm. What is sin θ?
0.6
A ladder makes a 60° angle with the ground and is 8 meters long. How high does it reach?
6.93 m
In a triangle, A = 30°, B = 60°, and side a = 8 cm. Find side b.
13.86 cm
A triangle has sides measuring 6 cm, 8 cm, and 10 cm. Find the angle opposite the 10 cm side.
90°
What is the value of cos 60° + sin 30°?
1
A right triangle has an opposite side of 9 cm and an adjacent side of 12 cm. What is tan θ?
0.75
A student stands 20 meters away from a building. The angle of elevation to the top is 45°. Assuming the angle is measured from ground level, how tall is the building?
20 m
Two students stand 40 meters apart. The angles from their positions toward a tree are 50° and 60°. Find the distance from the student at the 50° angle to the tree.
36.86 m
A triangle has sides measuring 5 cm, 7 cm, and 9 cm. Find the angle opposite the 9 cm side.
95.74°