Trig Ratios: SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

Define Sine in terms of a right triangle.

Back

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

Front

Define Cosine in terms of a right triangle.

Back

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

Front

Define Tangent in terms of a right triangle.

Back

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

Front

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

Back

Sine = Opposite/Hypotenuse = 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 = Adjacent/Hypotenuse = 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 = Opposite/Adjacent = 3/4 = 0.75.

Front

How do you find the missing side using trigonometric ratios?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known sides and the angle.

Front

What is the Pythagorean theorem and how does it relate to trigonometry?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse. It is used to find missing side lengths.

Front

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

Back

The angles in a right triangle determine the ratios of the sides, which are consistent for similar triangles.