SOLUTION: Hello i am confused as to where to start and solve this question Write the expression in algebraic form. Sin(arccos(x))

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Question 1047304: Hello i am confused as to where to start and solve this question
Write the expression in algebraic form.
Sin(arccos(x))

Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
.
Hello i am confused as to where to start and solve this question
Write the expression in algebraic form.
Sin(arccos(x))
~~~~~~~~~~~~~~~~~~~~~

arccos(x) is the angle  whose cosine is "x":  = x.


Now,  = .

But cos(alpha) = x.  Hence,  = .


Thus  sin(arccos(x) =  = .


Answer.  sin(arccos(x) = .

To see more similar solved problems, look into the lessons
    - Calculating trigonometric functions of angles
    - Advanced problems on calculating trigonometric functions of angles
in this site.

They may help you in the future when you will meet similar problems.


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