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Mathematics 16 Online
OpenStudy (dls):

Trigo help please!!

OpenStudy (dls):

If tanA=-1/2 ,tanB=-1/3,then A+B=? A)pi/4 B)3pi/4 C)5pi/4 D)None of these

OpenStudy (anonymous):

D i think

OpenStudy (dls):

yea..why

OpenStudy (anonymous):

well it should be -arctan(1/2)-arctan(1/3) as your answer

OpenStudy (anonymous):

A = -arctan(1/2), B = -arctan(1/3), therefore x = -arctan(1/2)-arctan(1/3)

OpenStudy (dls):

\[\LARGE \tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}\] \[\LARGE \frac{\frac{-1}{2}-\frac{1}{3}}{1-\frac{1}{6}} \] \[\LARGE (A+B)=\frac{3\pi}{4}\] how do we decide after this?

OpenStudy (anonymous):

it is not tan(a+b) it is a+b

OpenStudy (dls):

so what..im taking tan of that function

OpenStudy (anonymous):

ook

hartnn (hartnn):

i am also getting 3pi/4 it should work.

OpenStudy (dls):

its not 3pi/4 but..its D only..answer is 7pi/4

hartnn (hartnn):

tan (-pi/4) = tan (3pi/4) = tan (7pi/4 ) = -1

OpenStudy (dls):

yeah but answer is D :P

OpenStudy (dls):

3pi/4 is not acceptable..:/

OpenStudy (anonymous):

the simple ans. \[\frac{\pi}{2}<A,B<\pi\] or \[\frac{3\pi}{2}<A,B<2\pi\] so (A+B) must not be \(\frac{3\pi}{4}\)

OpenStudy (dls):

@shubhamsrg !!!

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