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Mathematics 21 Online
OpenStudy (bloomlocke367):

Simplify the trig expression.

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 ?

OpenStudy (bloomlocke367):

I'm confused. how do I use that?

OpenStudy (bloomlocke367):

http://prntscr.com/7bv1ju my choices

OpenStudy (amilapsn):

instead of \(\sin^2\theta\) what would you substitute?

OpenStudy (bloomlocke367):

1-cos^2? @amilapsn

OpenStudy (amilapsn):

\color{blueviolet}{\Huge\sf{Yes.}}

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...

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)

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

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?

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?

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):

\[\color{blue}{\Huge\sf{You're ~Welcome!}}\]

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