Trigonometry Examples

Solve for x 3arccos(4x)=2pi
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 2
Take the inverse arccosine of both sides of the equation to extract from inside the arccosine.
Step 3
Simplify the right side.
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Step 3.1
Simplify .
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Step 3.1.1
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.
Step 3.1.2
The exact value of is .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 4.3.2
Multiply .
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Step 4.3.2.1
Multiply by .
Step 4.3.2.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: