SOHCAHTOA Practice

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic to remember the definitions of the sine, cosine, and tangent functions in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What type of triangle is used in trigonometry?

Back

Right triangle.

Front

What is the sine of an angle in a right triangle?

Back

The ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The ratio of the length of the opposite side to the length of the adjacent side.

Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 3/5 = 0.6.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Back

Cosine = Adjacent/Hypotenuse = 4/5 = 0.8.

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 3/4 = 0.75.

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².