Trigonometry Examples

Find the Reciprocal ( square root of 2)/2
Step 1
To find the reciprocal, divide by the number given.
Step 2
Simplify.
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Step 2.1
Multiply the numerator by the reciprocal of the denominator.
Step 2.2
Multiply by .
Step 2.3
Multiply by .
Step 2.4
Combine and simplify the denominator.
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Step 2.4.1
Multiply by .
Step 2.4.2
Raise to the power of .
Step 2.4.3
Raise to the power of .
Step 2.4.4
Use the power rule to combine exponents.
Step 2.4.5
Add and .
Step 2.4.6
Rewrite as .
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Step 2.4.6.1
Use to rewrite as .
Step 2.4.6.2
Apply the power rule and multiply exponents, .
Step 2.4.6.3
Combine and .
Step 2.4.6.4
Cancel the common factor of .
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Step 2.4.6.4.1
Cancel the common factor.
Step 2.4.6.4.2
Rewrite the expression.
Step 2.4.6.5
Evaluate the exponent.
Step 2.5
Cancel the common factor of .
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Step 2.5.1
Cancel the common factor.
Step 2.5.2
Divide by .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: