First of all, I would not have used
225 = 300 - 45 but rather
225 = 180 + 45 and then use
tan(x+y) = (tanx + tany)/(1 - tanxtany)
you should know that tan45 = 1 and tan 180 = 0
so tan 225
= tan (180+45)
check with a calculator.
try to use combinations that involve angles like 0,30,45,60,90, 180 and 360
to use 300 would mean that you would first of all have to calculate tan 300 as a preliminary problem
This can be done very easily by BASICS of Tangent function:
Tan has a period of PI, which is 180 degree.
When you have a angle like 225, all you need to do is add or subtract multiples of 180(in this case, 150 itself) to get a common angle:
225-180 = 45
Tan(45)=1, since 225 is in Quadrant III,
it is positive, so final answer(the whole procedure) is
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replace 150(in the parenthesis) by 180 in my last post, that was a typo.
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