phoffric
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How to solve a trigonometry equation
In another question, I had solved a problem of 4 equations in 4 unknowns numerically by using plot utilities. (Another expert used Excel Solver to solve the equations.)
https://www.experts-exchange.com/questions/28929349/Solve-the-following-simultaneous-equations.html?anchorAnswerId=41483976#a41483976
Getting the answer for alpha is not the question as we already know the value. This question is asking for the algebraic and/or trigonometric steps in getting the answer that WolframAlpha shows below for the following equation:
Can someone show the steps as to how Wolfram got their solution?
http://www.wolframalpha.com/input/?i=cos+(+85+*+pi%2F180+-+alpha)%2F+cos+(+alpha+)+%3D+2
Here is the Wolfram answer (but no steps shown):
If someone has WolframAlpha Pro, then possibly their Step-By-Step solution will be good.
https://www.experts-exchange.com/questions/28929349/Solve-the-following-simultaneous-equations.html?anchorAnswerId=41483976#a41483976
Getting the answer for alpha is not the question as we already know the value. This question is asking for the algebraic and/or trigonometric steps in getting the answer that WolframAlpha shows below for the following equation:
cos ( 85 * pi/180 - alpha)/ cos ( alpha ) = 2
Can someone show the steps as to how Wolfram got their solution?
http://www.wolframalpha.com/input/?i=cos+(+85+*+pi%2F180+-+alpha)%2F+cos+(+alpha+)+%3D+2
Here is the Wolfram answer (but no steps shown):
If someone has WolframAlpha Pro, then possibly their Step-By-Step solution will be good.
SOLUTION
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SOLUTION
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ASKER
Thanks, Kyle Hamilton, for posting the WA solution. I would have accepted it immediately but for one missing step. WA didn't show the steps transforming the equation
cos ( 85 * pi/180 - alpha)/ cos ( alpha ) = 2
to
sec(alpha) sin(pi/36 + alpha) = 2
I scratched out something quickly, but was off by a minus sign, so for completeness it would be useful to get the missing steps. (If no detailed response, I'll work out my mistake as soon as I have some time.)
ASKER CERTIFIED SOLUTION
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ASKER
Thanks, Kyle Hamilton, for taking the time to find the WA solution.
Solutions always look easy after you get the hint.
Solutions always look easy after you get the hint.
Can you draw both triangles? Then solution is obvious.