Trig Ratios SohCahToa

Front

What does the acronym SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic to remember the trigonometric ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

If you know the opposite side and hypotenuse, which trigonometric function do you use?

Back

Sine.

Front

What is the definition of the hypotenuse in a right triangle?

Back

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

Front

In the triangle ABC, if ∠A is the angle of interest, which side is the adjacent side?

Back

The side AC is the adjacent side to ∠A.

Front

What is the formula for finding the sine of an angle?

Back

Sine(θ) = Opposite side / Hypotenuse.

Front

What is the formula for finding the cosine of an angle?

Back

Cosine(θ) = Adjacent side / Hypotenuse.

Front

What is the formula for finding the tangent of an angle?

Back

Tangent(θ) = Opposite side / Adjacent side.

Front

In a right triangle, if the lengths of the opposite side and adjacent side are known, how can you find the angle?

Back

You can use the tangent function: θ = arctan(Opposite/Adjacent).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

If the hypotenuse of a right triangle is 10 units and one leg is 6 units, what is the length of the other leg?

Back

Using the Pythagorean theorem: b = √(10² - 6²) = √(100 - 36) = √64 = 8 units.