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(52866) About Me  (Show Source):
You can put this solution on YOUR website!
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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 alpha whose cosine is "x": cos%28alpha%29 = x.


Now, sin%28alpha%29 = sqrt%281-cos%5E2%28alpha%29%29.

But cos(alpha) = x.  Hence, sin%28alpha%29 = sqrt%281-x%5E2%29.


Thus  sin(arccos(x) = sin%28alpha%29 = sqrt%281-x%5E2%29.


Answer.  sin(arccos(x) = sqrt%281-x%5E2%29.

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.