สรุป ฟังก์ชันตรีโกณมิติ

!Éry* ! vii. ①MOM !

! f-µ. OH

ÑgñÑw oiaeio mwÉaÑwÉ

Trail sine) sin Ñisr ran
since = In
faIWÑ( Cosine) cos CSCO = Fan

bbnwbowÑ( Tangent) tan / to ÉÑEdcoso = Seco = DI
win Ja
Tamiami ( cosecant) /csc cosec
tano = ÑI co -18 = JI
oÑbbnwÑ ( secant) Sec
in Maw
Jablonowski ( cotangent) cot / ctjolctn

B Note ? Edwina:

YPython"" | a → sina.giiww.no tango = Sind •Ésin2A + coin = 1
opposite
in COSO Seda - tan?A = I

Hypoten"" CSCZA - cot2A = I

i. Coto 005-0

Adjacent =

bindsb:ÑaywO Sino

h2= 2 tf functionco - airman'm:

a+

( ofsince sine = cosine
= cos go'
- tangent = cotangent

tano = cot (go' O) Sec = cosecant
-

Seco = csc (go - g)

TryT.!EEii. ①MOM! !

! Feta i. ①A. /

.

an'ao9wnñ5nqN

1. ' (° )

UN 28dg AT

i' ( ' = 5dm )
C " = WIN@7)
= Go

i"

= Go

2.HU/28b8bddqz

÷a radian
o=

"

÷O = = i radian

a = Zar ¥O = = 21T radian

Quiz
•-

ÑI ' ( HYNSON29h22 180W) 2%7%0 = radian

360

-

6bÑ2Ñ7 ' (UYWbbÑaoÉs29ndN ) a:/of 0 = radian

180 -

?⃝

TryTEIFI. Orion! !

! Eet ÉI. hi

"+ =210° 42-51=120. ••(0,1) 4 /

☒ 3¥ = 135° Iz= 1.57 •*d-cost-17¥=60'

5" g= go ¥=¥
= 150
¥-30'T

,

o b=±E:*I
"
' -1437,51T, ... 0,21T 41T

tan (t) E. , , . . .

= 6.28
= 330°

,

5¥ ' 7¥ = 315°
= 225
go -_ 270° 5-31-1=3:0\0' ☒
✗
512=4.71
'

= 240

y

• ÑgñÑnoo9NN

(0 -11 onouqaqiasetnioig
,

( circular Function)

?⃝

T.!EE Try①MOM! !

! Feta i. ①A. /

.

goods :nou

9 Compound Angle

sin(A-113) = SINACOSB + COSASINB

sin(A- B) = SINACOSB - COSASINB

COSCA -113 ) = COSACOSB - sinAsinB

COSCA - B) = COSACOSB + SinAsinB

tan(A+B) tanA+tanB
= y_tanAtanB

ty-aitannA(I-Aan-BCBO)-ACO-B-=lco-CA-tBaI-ncoa-B-c-.att#acontABcotB
cot(A- B) -11

= co-IB-C.at#

THE. !Fry①Morrie !
!

! Eui .AE/-i.oA. /

.

4826917 ( Double Angel ) 4213694 (Triple Angle)

sin 2A = ZSINACOSA sin3A = 35nA - 45in>A

2 -12nA COS3A = 40053A 3cosA
-
= 1+-an2AT

COSZA tan3A-= COSZA - Sinha y -z ta n Z A- 2 312nA - tan>A t

I- COS.t
300-1A - cot >A
= g- 25in> A cot > A
= 1-zc.at#
1- tank

= n+tan#

212nA

tanZA-ytanh-cotza.ct?A-y2CotAq2raoE9bnh

?sin =±✓';

A = ±✓¥2SA-

cosy

tan,A ±✓t= 1 + COSA

Sina
= 1+cosA-

Ñ→Fi ①!

Fryi.
MOM! !

! f-µ. OH -1

WdU2M,WdÑ79 bbdewdg.hr

Sum Difference and Product
,
Sina + sin B = 2sin(A¥)cos(A¥)
Sina - Sin B = 2cos(A¥)sin(A-¥)
COSA + COSB = 2cos(A¥)cos(A-B
CzOsSinAft-B--lsC.iOnS/AB-B-)=2s-inAcosB=sin(A+B)-sin(
A- B)

ZCOSACOSB = Sin (A -113) - sin ( A- B)

ZCOSACOSB = COSCA -113) + cos( A- B)

25in Asin B = COSCA - B) - COSCA- B)

TryT.!F.fi. ①MOM! !

! Feta i. ①A. /

.

ÑgñÑwon£TnnrÑñ9wqN asinx ± bcosx

asinx ± bcosx 6240 ¥✓at= six (✗ to )
tan A =

ñ÷qñ=✓ñ+bT

ñnoi ooia = -✓ñ+bT