Trigonometry Examples

Solve for y (-5/6)^2+y^2=1^2
Step 1
Simplify each term.
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Step 1.1
Use the power rule to distribute the exponent.
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Step 1.1.1
Apply the product rule to .
Step 1.1.2
Apply the product rule to .
Step 1.2
Raise to the power of .
Step 1.3
Multiply by .
Step 1.4
Raise to the power of .
Step 1.5
Raise to the power of .
Step 2
One to any power is one.
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Write as a fraction with a common denominator.
Step 3.3
Combine the numerators over the common denominator.
Step 3.4
Subtract from .
Step 4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5
Simplify .
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Step 5.1
Rewrite as .
Step 5.2
Simplify the denominator.
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Step 5.2.1
Rewrite as .
Step 5.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: