Trigonometry ratios #1

Front

What is the definition of Sin(A)?

Back

Sin(A) is defined as the ratio of the length of the opposite side (a) to the length of the hypotenuse (c) in a right triangle. Thus, Sin(A) = a/c.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of Cos(A)?

Back

Cos(A) is defined as the ratio of the length of the adjacent side (b) to the length of the hypotenuse (c) in a right triangle. Thus, Cos(A) = b/c.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of Tan(A)?

Back

Tan(A) is defined as the ratio of the length of the opposite side (a) to the length of the adjacent side (b) in a right triangle. Thus, Tan(A) = a/b.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between Sin, Cos, and Tan?

Back

The relationship is given by the equation Tan(A) = Sin(A) / Cos(A).

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean identity involving Sin and Cos?

Back

The Pythagorean identity states that Sin^2(A) + Cos^2(A) = 1.

Tags

CCSS.HSF.TF.C.8

Front

If Sin(45) = x/13, what is the value of x?

Back

x = 13 * Sin(45) = 13 * @@rac{ oot{2}}{2}@@ = 13 * 0.7071 = 9.899.

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of Sin(30 degrees)?

Back

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of Cos(60 degrees)?

Back

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of Tan(45 degrees)?

Back

Tan(45 degrees) = 1.

Tags

CCSS.HSG.SRT.C.7

Front

In a right triangle, if the hypotenuse is 10 and the opposite side is 6, what is Sin(A)?

Back

Tags

CCSS.HSG.SRT.C.6