Solving Right Triangles SOH CAH TOA

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

How do you find the sine of an angle in a right triangle?

Back

Sine of an angle = Length of the opposite side / Length of the hypotenuse.

Front

How do you find the cosine of an angle in a right triangle?

Back

Cosine of an angle = Length of the adjacent side / Length of the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

Tangent of an angle = Length of the opposite side / Length of the adjacent side.

Front

If one angle of a right triangle is 30 degrees, what is the measure of the other non-right angle?

Back

The other angle is 60 degrees, since the sum of angles in a triangle is 180 degrees.

Front

What is the relationship between the angles and sides in a right triangle?

Back

The angles determine the ratios of the lengths of the sides.

Front

How do you solve for a missing angle in a right triangle?

Back

Use the fact that the sum of the angles in a triangle is 180 degrees.

Front

What is the formula to find the length of the hypotenuse using the sine function?

Back

Hypotenuse = Opposite side / sin(angle).

Front

What is the formula to find the length of the adjacent side using the cosine function?

Back

Adjacent side = Hypotenuse * cos(angle).

Front

What is the formula to find the length of the opposite side using the tangent function?

Back

Opposite side = Adjacent side * tan(angle).