Trig Ratios

Front

What is the definition of cosine in 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.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of sine in 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.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent in 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.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(θ) = sin(θ) / cos(θ) for any angle θ.

Tags

CCSS.HSG.SRT.C.7

Front

If the hypotenuse is 10 and the opposite side is 6, what is sin(θ)?

Back

sin(θ) = opposite/hypotenuse = 6/10 = 0.6.

Tags

CCSS.HSG.SRT.C.6

Front

If the adjacent side is 8 and the hypotenuse is 10, what is cos(θ)?

Back

cos(θ) = adjacent/hypotenuse = 8/10 = 0.8.

Tags

CCSS.HSG.SRT.C.6

Front

If the opposite side is 5 and the adjacent side is 12, what is tan(θ)?

Back

tan(θ) = opposite/adjacent = 5/12.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What is the sine rule?

Back

In any triangle, a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are the sides and A, B, C are the opposite angles.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the cosine rule?

Back

In any triangle, c² = a² + b² - 2ab*cos(C), where a, b, c are the sides and C is the angle opposite side c.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11