Basic Trig Ratios

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is expressed as: $$\sin(\theta) = \frac{opposite}{hypotenuse}$$.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is expressed as: $$\cos(\theta) = \frac{adjacent}{hypotenuse}$$.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is expressed as: $$\tan(\theta) = \frac{opposite}{adjacent}$$.

Tags

CCSS.HSG.SRT.C.6

Front

What is the hypotenuse in a right triangle?

Back

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

Front

If the lengths of the sides of a right triangle are 7, 24, and 25, which side is the hypotenuse?

Back

The hypotenuse is 25.

Tags

CCSS.HSG.CO.C.10

Front

In a right triangle, if one angle is 30 degrees, what is the sine of that angle?

Back

The sine of 30 degrees is 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

In a right triangle, if one angle is 60 degrees, what is the cosine of that angle?

Back

The cosine of 60 degrees is 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

In a right triangle, if one angle is 45 degrees, what is the tangent of that angle?

Back

The tangent of 45 degrees is 1.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): $$c^2 = a^2 + b^2$$.

Tags

CCSS.8.G.B.8

Front

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

Back

The sine ratio is $$\sin(\theta) = \frac{3}{5}$$.

Tags

CCSS.HSG.SRT.C.6