Trigonometric Ratios

Front

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

Back

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

Front

What is the Sine ratio in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = Opp/Hyp.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of the opposite side in a right triangle?

Back

The opposite side is the side opposite to the angle of interest in a right triangle.

Front

What is the Cosine ratio in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = Adj/Hyp.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of the adjacent side in a right triangle?

Back

The adjacent side is the side next to the angle of interest in a right triangle, excluding the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Tangent ratio in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = Opp/Adj.

Tags

CCSS.HSG.SRT.C.6

Front

How do you calculate the length of the hypotenuse using the Pythagorean theorem?

Back

The length of the hypotenuse (c) can be calculated using the formula: c = √(a² + b²), where a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sine and cosine of complementary angles?

Back

The sine of an angle is equal to the cosine of its complementary angle: sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of sin(30°)?

Back

sin(30°) = 1/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of cos(60°)?

Back

cos(60°) = 1/2.

Tags

CCSS.HSG.SRT.C.7