Trigonometry Examples

Solve for x arccos(x)+arcsin(1/2)=pi/2
Step 1
Simplify the left side.
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Step 1.1
The exact value of is .
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Move to the left of .
Step 2.5.2
Subtract from .
Step 2.6
Cancel the common factor of and .
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Step 2.6.1
Factor out of .
Step 2.6.2
Cancel the common factors.
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Step 2.6.2.1
Factor out of .
Step 2.6.2.2
Cancel the common factor.
Step 2.6.2.3
Rewrite the expression.
Step 3
Take the inverse arccosine of both sides of the equation to extract from inside the arccosine.
Step 4
Simplify the right side.
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Step 4.1
The exact value of is .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: