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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)
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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.
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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 \(\frac{3\pi}{4}\)
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