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Mathematics 16 Online
snowflake0531:

@dude @angle @ people who can help me xd

Angle:

I think ultri was tempted to make an @ everyone tag at some point that only mods could use

snowflake0531:

LOL

snowflake0531:

well, i did this so far., i kinda expanded, not sure what i was supposed to do lol |dw:1616461333250:dw| kinda that

Angle:

this? \(\huge\frac{\frac{cos^2x-sin^2x}{cos^2x}}{\frac{cos^2x+sin^2x}{cos^2x}}\)

snowflake0531:

Yea, that lol

Angle:

multiply top and bottom by \(cos^2x\)

snowflake0531:

those cross out? so then (cos^2 x - sin^2 x)/(cos^2 x + sin^2 x)

Angle:

yes then what can you replace the denominator with?

snowflake0531:

1?

snowflake0531:

so then cos^2 x - sin^2 x

Angle:

yes yes have you learned about cos(2x)?

snowflake0531:

No? actually, well, we don't learn anything in class?

Angle:

LOL

1 attachment
Angle:

eh, I guess they might want us to go the long way then

snowflake0531:

so it's cos 2x?

Angle:

nono backtrack a bit cos(2x) is a shortcut, but if you haven't learned it then we're not gonna do that

Angle:

\(\color{#0cbb34}{\text{Originally Posted by}}\) snowflake0531 so then cos^2 x - sin^2 x \(\color{#0cbb34}{\text{End of Quote}}\) replace cos^2(x) = 1 - sin^2(x)

snowflake0531:

oh, right and there's my answer LOL thanksssssssssssssssssssssssssssss xdxdxdxdxd <3

Angle:

:)

snowflake0531:

<3

surjithayer:

\[\frac{ 1-\tan ^2x }{1+\tan ^2x }=\frac{ 1-\frac{ \sin ^2x }{ \cos ^2x } }{ 1+\frac{ \sin ^2x }{ \cos ^2x} }\] \[=\frac{ \cos ^2x-\sin ^2x }{\cos ^2x+\sin ^2x }\] \[=\cos ^2x-\sin ^2x\] \[=1-\sin ^2x-\sin ^2x\] \[=1-2\sin^2x\]

Angle:

thanks @surjithayer !

surjithayer:

yw

snowflake0531:

thanks~~!

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