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work out A=cos^-1(.875)
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\[A=\arccos(0.875)\] Really, there is no way to work it out other than using a calculator (I believe).
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By the way, \[0.875=\cos(A)\]|dw:1346662641495:dw||dw:1346662682233:dw| Although- watch out! Look at the second picture- the line x=0.875 intersects with the arcos graph infinitely many times, so A could be ANY of those values. Of course, teachers won;t expect you to find all the infinity of them, so you are normally given bounds to find A (within which there are 4 or so answers- remember than the cosine/arccos graph goes into the negative, too!)
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