SOH CAH TOA Ratios

Front

What does SOH CAH TOA stand for?

Back

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

Front

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

Back

Tangent (tan) is found by dividing the length of the opposite side by the length of the adjacent side.

Front

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

Back

Sine (sin) is 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

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

If the opposite side is 3 and the hypotenuse is 5, what is sin C?

Back

sin C = 3/5.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is cos C?

Back

cos C = 4/5.

Front

If the opposite side is 7 and the adjacent side is 24, what is tan Z?

Back

tan Z = 7/24.

Front

In a right triangle, which side is opposite to angle A?

Back

The side opposite to angle A is called the opposite side.

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagorean theorem).

Front

How do you determine which trigonometric function to use?

Back

Identify the sides involved: use sine for opposite/hypotenuse, cosine for adjacent/hypotenuse, and tangent for opposite/adjacent.