Finding Side Lengths and Angles Using Trig Ratios

A trigonometric ratio is the ratio of _______________ of two sides of a right triangle.

Answer explanation

the ratio of sides

Tags

CCSS.HSG.SRT.C.6

Trigonometry means ____________________________. Trig ratios are used to find a missing side or angle, given one side and an angle or two sides.

Answer explanation

Trigonometry means the study of relationships involving lengths and angles of triangles. Trig ratios help find missing sides or angles given specific information.

Tags

CCSS.HSG.SRT.C.7

tangent of ∠A = ____________________

Answer explanation

tangent of ∠A = opposite side / adjacent side

Tags

CCSS.HSG.SRT.C.6

sine of ∠A = ____________________

Answer explanation

sine of ∠A = opposite side / hypotenuse in a right triangle

Tags

CCSS.HSG.SRT.C.6

cosine of ∠A = ____________________

Answer explanation

cosine of ∠A = adjacent side / hypotenuse in a right triangle

Tags

CCSS.HSG.SRT.C.6

In terms of sides a, b, and c: tanA = ____ = ____ sinA = ____ = ____ cosA = ____ = ____

Answer explanation

In terms of sides a, b, and c: tanA = a/b = sinA/c = a/c cosA = b/c

Tags

CCSS.HSG.SRT.C.6

Find each trig ratio. tanA = ____

Answer explanation

To find tanA, you need to divide the length of the side opposite angle A by the length of the side adjacent to angle A in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Find each trig ratio. tanB = ____

Answer explanation

To find tanB, you need to use the formula tanB = opposite/adjacent in a right triangle with angle B. Make sure to identify the correct sides before calculating the ratio.

Tags

CCSS.HSG.SRT.C.6

Find each trig ratio. sinA = ____

Answer explanation

To find sinA, divide the length of the side opposite angle A by the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Find each trig ratio. sinB = ____

Answer explanation

To find sinB, divide the length of the side opposite angle B by the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6