Right Triangle Trig

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is 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

What are the three primary trigonometric functions?

Back

Sine, Cosine, and Tangent.

Front

What does the Sine function represent in a right triangle?

Back

Sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What does the Cosine function represent in a right triangle?

Back

Cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What does the Tangent function represent in a right triangle?

Back

Tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How can you remember the trigonometric ratios?

Back

Use the mnemonic 'Soh Cah Toa': Soh = Sine = Opposite/Hypotenuse, Cah = Cosine = Adjacent/Hypotenuse, Toa = Tangent = Opposite/Adjacent.

Front

If sin A = 3/5, what is cos A?

Back

Using the Pythagorean identity, cos A = √(1 - sin²A) = √(1 - (3/5)²) = 4/5.

Front

What is the formula for finding the length of a side in a right triangle using cosine?

Back

cos(θ) = adjacent/hypotenuse.

Front

If the hypotenuse is 10 and the adjacent side is 6, what is cos(θ)?

Back

cos(θ) = 6/10 = 0.6.