Mathematics
9 Online
OpenStudy (anonymous):
Verify the identity:
1-(sin²ß/(1-cos²ß))= -cosß
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myininaya (myininaya):
\[1-\frac{\sin^2(B)}{1-\cos^2(x)}=1-\frac{\sin^2(B)}{\sin^2(B)}=1-1=0 \neq -\cos(B) \text{ for all B}\]
myininaya (myininaya):
oops that x=B by the way
OpenStudy (anonymous):
Were not sovling for ß, its verifying that 1-(sin²ß/(1-cos²ß)) does equal -cosß
lol
myininaya (myininaya):
i'm not solving
myininaya (myininaya):
i showed that one side is 0
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myininaya (myininaya):
-cos(B) is not 0 for all B
it is sometimes 0 for some B
OpenStudy (anonymous):
OPPS ;o cos shouldn't be squared...
OpenStudy (mertsj):
In other words, you have posted the problem incorrectly,.
myininaya (myininaya):
\[1-\frac{\sin^2(B)}{1-\cos(B)}=-\cos(B)?\]
OpenStudy (anonymous):
yes
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myininaya (myininaya):
i would multiply top and bottom of that fraction by the conjugate of the bottom
myininaya (myininaya):
\[1-\frac{\sin^2(B)}{1-\cos(B)} \cdot \frac{1+\cos(B)}{1+\cos(B)}=1-\frac{\sin^2(x)(1+\cos(B))}{1-\cos^2(B)}\]
myininaya (myininaya):
do you see what to do now?
myininaya (myininaya):
you can use an identity at the bottom and something will cancel
OpenStudy (anonymous):
yes, thank you! :D I have one more if you don't mind..?
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myininaya (myininaya):
ok
OpenStudy (anonymous):
myininaya (myininaya):
that didn't work
myininaya (myininaya):
i can't open it correctly
OpenStudy (anonymous):
oh.. one sec then
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OpenStudy (mertsj):
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