R Q P 30 5 L M N 7 45 Z Y X 18 60 8.2 Trigonometric Ratios Trigonometry Part 1: Finding Missing Sides Practice Directions: Express each ratio as a simplified fraction. 1) Find sin P, cos P, tan P. 2) Find sin L, cos L, tan L. 3) Find sin X, cos X, tan X. 4) Draw a 45-45-90 Δ. Label the smallest 5) Draw a 30-60-90 Δ. Label the smallest side 1 and then find all missing sides. side 1 and then find all missing sides. Then, write tan45° as a simplified fraction. Then, write cos60° as a simplified fraction. 6) Directions: Use a calculator to find each value. Round each answer to the nearest hundredth. sin57 = cos60 = cos33 = tan30 = tan45 = sin85 =
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8.2 Trigonometric Ratios Trigonometry Part 1: Finding Missing Sides Practice
Directions: Express each ratio as a simplified fraction. 1) Find sin P, cos P, tan P. 2) Find sin L, cos L, tan L. 3) Find sin X, cos X, tan X. 4) Draw a 45-45-90 Δ. Label the smallest 5) Draw a 30-60-90 Δ. Label the smallest side 1 and then find all missing sides. side 1 and then find all missing sides. Then, write tan45° as a simplified fraction. Then, write cos60° as a simplified fraction.
6) Directions: Use a calculator to find each value. Round each answer to the nearest hundredth. sin57= cos60= cos33= tan30= tan45= sin85=
89
5
Y
O
J
5 2
31
CO
D
Directions: Find the value of x. Round each answer to the nearest tenth. 7) 8) 9) 10)
11)The figure below is a rectangle. Find the 12) Given that KITE is a kite with KI IT perimeter and round to the nearest hundredth. find KT.
13) Find sin J, cos J, and tan J. Express 14) Find sin D, cos D, and tan D. Express
each ratio as a simplified fraction. each ratio as a simplified fraction.
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