Answer: C) tan(pi/56)
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Explanation:
I recommend using a trig identity reference sheet. The specific identity we will be using is ![\frac{\tan(A)-\tan(B)}{1+\tan(A)\tan(B)} = \tan(A-B)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctan%28A%29-%5Ctan%28B%29%7D%7B1%2B%5Ctan%28A%29%5Ctan%28B%29%7D%20%3D%20%5Ctan%28A-B%29)
What we are given is in the form
with A = pi/7 and B = pi/8
A-B = (pi/7)-(pi/8)
A-B = pi(1/7-1/8)
A-B = pi(8/56 - 7/56)
A-B = pi*(1/56)
A-B = pi/56
Therefore,
![\frac{\tan\left(\pi/7\right)-\tan(\pi/8)}{1+\tan(\pi/7)\tan(\pi/8)} = \tan\left(\pi/56\right)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctan%5Cleft%28%5Cpi%2F7%5Cright%29-%5Ctan%28%5Cpi%2F8%29%7D%7B1%2B%5Ctan%28%5Cpi%2F7%29%5Ctan%28%5Cpi%2F8%29%7D%20%3D%20%5Ctan%5Cleft%28%5Cpi%2F56%5Cright%29)
Answer:
1/8 square unit or 0.125 square unit
Step-by-step explanation:
Please kindly check the attached files for explanation and the picture or diagram of the square with triangles
in order to get rid of the denominator, multiply it with all the other numbers
Yes, i would be glad to help you with your homework!