Mathematics
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OpenStudy (anonymous):
(sinA+cosAtanB)/(cosA-sinAtanB)=tan(a+b)
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OpenStudy (aravindg):
Multiply with cos B on numerator and denominator.
OpenStudy (anonymous):
explain?
OpenStudy (aravindg):
you will se that you get something similar to previous question
OpenStudy (aravindg):
(sinA+cosAtanB) X cos B
________________________
(cosA-sinAtanB) X cos B
OpenStudy (aravindg):
Try opening up the brackets .
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OpenStudy (anonymous):
ok, so you get this:
\[(sinAcosB+cosAcosBtanB)/(cosAcosB-sinAcosBtanB)\]
so what next?
OpenStudy (aravindg):
tan B X cos B = ?
OpenStudy (anonymous):
?
OpenStudy (aravindg):
\[\tan B \times \cos B= .....\]
Can you find that ?
OpenStudy (aravindg):
@hothand621 ?
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OpenStudy (anonymous):
ummmm no, i suck at harder trig
OpenStudy (anonymous):
Hint: tan B = sinB / cosB
OpenStudy (aravindg):
^^
OpenStudy (anonymous):
yes
and that doesnt equal tan(a+b)
OpenStudy (anonymous):
it equals sinB
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OpenStudy (anonymous):
Simplify it first :)
No need to be hurry :)
OpenStudy (aravindg):
yep replace it in your question
OpenStudy (anonymous):
replace what though
OpenStudy (aravindg):
(sinA+cosAtanB) X cos B = sin A cos B+cos A sin B !
OpenStudy (aravindg):
Seen that somewhere?
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OpenStudy (anonymous):
yes
OpenStudy (aravindg):
Can you do it now ?
OpenStudy (anonymous):
ummm give me a minute
OpenStudy (anonymous):
i think so
OpenStudy (anonymous):
what happens to the denominator?
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OpenStudy (aravindg):
Open up the brackets !
OpenStudy (aravindg):
(cosA-sinAtanB) X cos B=.........
OpenStudy (anonymous):
thanks man, solved :)
OpenStudy (aravindg):
Great ! yw :)