Kindly elaborate on each step.  Especially: How does (sintheta-1)2 become 1-sintheta?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 78E
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Kindly elaborate on each step. 

Especially: How does (sintheta-1)2 become 1-sintheta?

to prove !-
レ
|- Sino
|- fin'o
I+ fino
ta te
le lt hand side
(L·H.s)
(Bino-1)"
L-H.S
レ
(-I(1 - sino))"
in numerator
Common
-)
and
i" - sin'o
(1-Sin@)
- Sin' O
(1-sine) (1-sinó) / -' azb'= (a+b) (a-b)
(i+rino) (1-tige)
ab b"= (a+b) (ab
a'= a.a
I-sino
ニ
I+sino
(-H. S
(Right hand
)
R.H.S
Side
Thus
(Sino-1)
| - Sino
I+sino
Answer
Transcribed Image Text:to prove !- レ |- Sino |- fin'o I+ fino ta te le lt hand side (L·H.s) (Bino-1)" L-H.S レ (-I(1 - sino))" in numerator Common -) and i" - sin'o (1-Sin@) - Sin' O (1-sine) (1-sinó) / -' azb'= (a+b) (a-b) (i+rino) (1-tige) ab b"= (a+b) (ab a'= a.a I-sino ニ I+sino (-H. S (Right hand ) R.H.S Side Thus (Sino-1) | - Sino I+sino Answer
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