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Mathematics 15 Online
OpenStudy (anonymous):

(sinA+cosAtanB)/(cosA-sinAtanB)=tan(a+b)

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 .

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 ?

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

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?

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?

OpenStudy (aravindg):

Open up the brackets !

OpenStudy (aravindg):

(cosA-sinAtanB) X cos B=.........

OpenStudy (anonymous):

thanks man, solved :)

OpenStudy (aravindg):

Great ! yw :)

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