More Trig – Six Trig FunctionsLearning Objective: To find the trig functions of acute angles and to solve a

right triangle using trig functions

Warm-up (IN)

Notes

Learning Objective: To find the trig functions of acute angles and to solve a right triangle using trig functions

a

b

c SOH CAH TOAIN

PP

YP

OS

DJ

AN

YP

PP

DJ

sin 6 trig functions!

ac

cos bc

tan ab

CAO SHA CHOOT

DJ

PP

PP

EC

YP

YP

DJ

SC

csc cosecant

sec

cot

secant

cotangent

ca

cb

ba

Learning Objective: To find the trig functions of acute angles and to solve a right triangle using trig functions

EX 1 – Find the values of the 6 trigonometric functions of in . Give exact answers and answers rounded to the nearest ten-thousandth

KLM

K

L

M

24

7

25

sin 725

cos 2425

tan 724

csc

sec

cot

257

2524

247

0.2800

0.9600

0.2917

3.4286

1.0417

3.5714

Note… csc

sec

cot

1

sin1

cos1

tan

tan cossin

cot sincos

Learning Objective: To find the trig functions of acute angles and to solve a right triangle using trig functions

EX 2 – For find each side length to the nearest tenth.

RST

S

RT37°

9.6

a. RT cos37 9.6RT

7.7RT

b. ST sin 37 9.6ST

5.8ST

Learning Objective: To find the trig functions of acute angles and to solve a right triangle using trig functions

EX 3 – Solve the triangle.

G

O

D 62°5

m G a.

28

OG tan 62 5OG

9.4OG

DG cos 62 5DG10.7DG

Learning Objective: To find the trig functions of acute angles and to solve a right triangle using trig functions

T

A

C

3

8

b.

2 2 23 8 AC 273 AC

8.5AC

tanC 38

20.6m C

1 3tan8

69.4m A

HW –

Out – Explain the relationships between the first 3 trig functions and the last 3.

Summary – I think…