Half augle identites!- from diagram; Sino - |AB) TPB) = tan 8 B Q = |- Cos Q Sin& or Sino Cond B peciprocal ideutities, - În Right A ABC hyp. Perp AC Coseeo = B AB and Sino = peop AB lyp. AC Coseca=L Sino Peop. Bare Perpleiyp. Bareltiyp = Sina Sin'at sho = (AB CAC, Bc Ac2 H2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 31E
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Question
compare and contrast the different trigonometric identities
Half augfe idefities!-
from diagram,
JAB)
TPB)
Sino -
= tan &
ニ
B
2
= |- Cos&
Sin o
Or
Sino
Cond B
Reciprocal ideuti ties! -
În Right A ABC
hyp.
Perp
Coseeo =
AC
%3D
B
AB
and Sino =
Perp
AB
lyp.
AC
Coseca=I
Sino
Smilary
guot ノサ
Base
Perpltyp.
Bure l typ
%3D
= Sina
sin'atesto= ) +d
3
Be
%3D
ニ
Ac
Ac2
H2
Transcribed Image Text:Half augfe idefities!- from diagram, JAB) TPB) Sino - = tan & ニ B 2 = |- Cos& Sin o Or Sino Cond B Reciprocal ideuti ties! - În Right A ABC hyp. Perp Coseeo = AC %3D B AB and Sino = Perp AB lyp. AC Coseca=I Sino Smilary guot ノサ Base Perpltyp. Bure l typ %3D = Sina sin'atesto= ) +d 3 Be %3D ニ Ac Ac2 H2
()
Consider the diagram;
A
Sin20
BJ
E Con 20>
from A ABC night angled at B,
Cos 0 =
Base
It cos20
Zypotenne
12+ 2 Cos2a
i. e
Va Coso
1+ Cos 20
lit cozo
i.e
Va coso =
Squaring both Sides ;
2 coo - (I+cor28)
Cos20 - -1+ aco3o
or
Similaity
Cam jutifa for
Sin2o 4 tanzo-
we
Transcribed Image Text:() Consider the diagram; A Sin20 BJ E Con 20> from A ABC night angled at B, Cos 0 = Base It cos20 Zypotenne 12+ 2 Cos2a i. e Va Coso 1+ Cos 20 lit cozo i.e Va coso = Squaring both Sides ; 2 coo - (I+cor28) Cos20 - -1+ aco3o or Similaity Cam jutifa for Sin2o 4 tanzo- we
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