Trigonometry Examples

Find the Inverse y=-1/6sin(x/4)
Interchange the variables.
Solve for .
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Rewrite the equation as .
Combine and .
Multiply each term by and simplify.
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Multiply each term in by .
Simplify the left side of the equation by cancelling the common factors.
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Dividing two negative values results in a positive value.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Move to the left of .
Take the inverse sine of both sides of the equation to extract from inside the sine.
Multiply both sides of the equation by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply both sides of the equation by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Combine and .
Cancel the common factor of .
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Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply.
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Multiply by .
Multiply by .
Since , is the inverse of .
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