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April 24, 2014

Homework Help: trigonometry (repost) Mathmate

Posted by Anon on Sunday, February 27, 2011 at 2:11am.

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=3228'30"

Using the previous values,
a=21.46
b=46.28
C=32-28-30=32.475
We have
A+B=180-32.475=147.525
a+b=67.74
a-b=-24.82

tan((A+B)/2)=3.433633
tan((A-B)/2)=tan((A+B)/2)*(a-b)/(a+b)
= -1.2580863 <<.. i did this part in logarithms it was actually very easy now that i understood it. thank you!

but i cant seem to understand what u did in the following part .

(A-B)/2 = atan(1.2580863)= -51.520285
A-B = -103.04057

I didn't get what u did there and when i tried it i came up with different numbers. Can you please clarify the steps.

thank you for taking the time to help me. I really appreciate it.

A=(147.525-103.04057)/2=22.242215
B=(147.525+103.04057)/2=125.282785

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