Mathematics
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OpenStudy (bloomlocke367):
Simplify the trig expression.
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OpenStudy (bloomlocke367):
\(\Large\frac{sin^2\theta}{1-\cos\theta}\)
OpenStudy (amilapsn):
\(\color{blueviolet}{\Huge\sf{sin^2\theta+cos^2 \theta\equiv 1}}\)
OpenStudy (amilapsn):
k?
OpenStudy (bloomlocke367):
yes. but that's not an option.
OpenStudy (amilapsn):
You are not allowed to use that ?
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OpenStudy (bloomlocke367):
I'm confused. how do I use that?
OpenStudy (amilapsn):
instead of \(\sin^2\theta\) what would you substitute?
OpenStudy (bloomlocke367):
1-cos^2? @amilapsn
OpenStudy (amilapsn):
\color{blueviolet}{\Huge\sf{Yes.}}
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OpenStudy (bloomlocke367):
you forgot the `\(` and `\)`
OpenStudy (bloomlocke367):
then what do I do?
OpenStudy (amilapsn):
I did it intentionally... :D
OpenStudy (bloomlocke367):
okay XD
OpenStudy (amilapsn):
then use...
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OpenStudy (bloomlocke367):
what's a and b?
OpenStudy (amilapsn):
\[\color{blueviolet}{\Huge\sf{a^2-b^2\equiv(a-b)(a+b)}}\]
OpenStudy (amilapsn):
just have a guess...
OpenStudy (amilapsn):
(I just asked you to factorize 1-cos^\theta)
OpenStudy (bloomlocke367):
right now I have 1-cos^2/1-cos (theta)
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OpenStudy (bloomlocke367):
@amilapsn Can you still help? I'm confused
OpenStudy (bloomlocke367):
@amistre64
OpenStudy (amilapsn):
can you factorize \(1-\cos^2\theta\)?
OpenStudy (bloomlocke367):
how?
OpenStudy (bloomlocke367):
@amilapsn
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OpenStudy (amilapsn):
you know this?
OpenStudy (amilapsn):
\color{blueviolet}{\Huge\sf{a^2-b^2=(a-b)(a+b)}}
OpenStudy (bloomlocke367):
not really
OpenStudy (amilapsn):
if you simplify the r.h.s. you'll get l.h.s. and you can prove it yourself....
OpenStudy (bloomlocke367):
rhs? lhs? what's that?
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Nnesha (nnesha):
rhs = right hand side
lhs = left hand side
OpenStudy (bloomlocke367):
I still don't know how to do it
OpenStudy (amilapsn):
\[\color{blueviolet}{\Huge\sf{1-\cos^2\theta=(1-\cos\theta)(1+\cos\theta)}}\]
OpenStudy (amilapsn):
ok?
OpenStudy (bloomlocke367):
yes?
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OpenStudy (amilapsn):
Now you have the answer
OpenStudy (bloomlocke367):
oh, so is the answer 1+cos theta?
OpenStudy (amilapsn):
yepp
OpenStudy (bloomlocke367):
\(\Huge\color{lime}{Thank~you!}\)
OpenStudy (amilapsn):
\[\color{blue}{\Huge\sf{You're ~Welcome!}}\]