Soh Cah Toa Flashcard #1

Front

What does SOH CAH TOA stand for?

Back

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

Front

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

Back

The sine of an angle 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

The cosine of an angle is 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 tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

In a right triangle, if the hypotenuse is 40 and the angle is 40°, what is the length of the opposite side?

Back

Using the sine function: Sin(40°) = Opposite/40. Therefore, Opposite = 40 * Sin(40°) ≈ 25.7.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If the opposite side is 6 and the adjacent side is 8, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 6/8 = 0.75.

Front

How do you find the length of the adjacent side if you know the opposite side and the angle?

Back

Use the tangent function: Adjacent = Opposite/Tan(angle).

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Front

What is the formula to find the hypotenuse using the Pythagorean theorem?

Back

Hypotenuse² = Opposite² + Adjacent².