Question #d6098

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Answer 1 · 2017-10-21T02:18:33

#A~~-2.36#

We know #tan(A + B) = −4# and #tan B = 5/3#

Solving for B:

#tan B=5/3#

#B=arctan(5/3)# Note: Arctan is the same as inverse tan

Substituting it into the first equation:

#tan(A + B) = −4#

#tan(A + arctan(5/3)) = −4#

#A + arctan(5/3) =arctan(−4)#

#A=arctan(-4)-arctan(5/3)#

Plug into calculator:

#A=-2.35619449~~-2.36#