5-5 Solving Right Triangles

Find Sin Ѳ = 0

Find Cos Ѳ = .7

Inverses of Trigonometric FunctionsArccosine relation – the inverse of y= cos xArcsine relation – the inverse of y= sin xArctangent relation – the inverse of y= tan x

y= sin x

y= cos x

y= tan x

Solve each equation using chart

• tan x = 1• 45°, 225°, or any angles coterminal with

these angles.• sin x = -1/2• 210°, 330°, or any angles coterminal with

these angles.

Solve each equation using graphing calculator

• tan x = 1• 45°, 225°, or any angles coterminal with

these angles.• sin x = -1/2• 210°, 330°, or any angles coterminal with

these angles.

Finding inverses using the graphing calculator

Evaluate each expression. Assume that all angles are in Quadrant 1.

Evaluate each expression. Assume that all angles are in Quadrant I

3/4

2/5

If f=17 and d=32, find E.

F

d e

E f D

If g=28 and h=21, find H.

H

f g

G h F

About 48.6⁰

Solve the triangles described, given the following triangle.

B

c a

A b C

• A = 33⁰, b=5.8 Find B Find a Find c

c=6.92

• a=23, c=45 • Find b• Find A• Find B

B

c a

A b C