Trigonometry: Solving Sides

Front

What is the definition of sine (sin) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine (cos) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent (tan) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Which trigonometric ratio would you use to find the length of the adjacent side?

Back

Cosine (cos) is used to find the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

Which trigonometric ratio would you use to find the length of the opposite side?

Back

Sine (sin) is used to find the length of the opposite side.

Tags

CCSS.HSG.SRT.C.6

Front

Which trigonometric ratio would you use to find the angle when you have opposite and adjacent sides?

Back

Tangent (tan) is used to find the angle when you have opposite and adjacent sides.

Tags

CCSS.HSG.SRT.C.6

Front

If tan(θ) = 3/4, what is the opposite side if the adjacent side is 16?

Back

The opposite side is 12 (using the ratio 3/4 = opposite/16).

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

How do you solve for x in the equation tan(58) = x/11?

Back

Multiply both sides by 11: x = 11 * tan(58).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The sides of a right triangle are proportional to the sine, cosine, and tangent of its angles.

Tags

CCSS.HSG.SRT.C.7