Soh Cah Toa Flashcard #1

Front

What does SOH CAH TOA stand for?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of sine, cosine, and tangent in a right triangle: SOH = Sine = Opposite/Hypotenuse, CAH = Cosine = Adjacent/Hypotenuse, TOA = Tangent = Opposite/Adjacent.

Front

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

Back

Sine (θ) = Opposite side / Hypotenuse.

Front

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

Back

Cosine (θ) = Adjacent side / Hypotenuse.

Front

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

Back

Tangent (θ) = Opposite side / Adjacent side.

Front

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

Back

Sine (θ) = 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 (θ) = 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 (θ) = 3/4 = 0.75.

Front

What is the hypotenuse of a right triangle with legs of 3 and 4?

Back

Using the Pythagorean theorem: Hypotenuse = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

How do you find the height of an object using trigonometry?

Back

Height = Distance from the object * tan(angle).

Front

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

Back

The sum of the angles in a triangle is 180 degrees, and in a right triangle, one angle is always 90 degrees.