Find the Sine (one , square root of two)

Find the Sine (1, square root of 2)
To find the between the x-axis and the line between the points and , draw the triangle between the three points , , and .
Opposite :
Adjacent :
Find the hypotenuse using Pythagorean theorem .
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One raised to any power equals one.
Should be rewritten as .
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Use to rewrite as .
Apply the power rule when multiplying the exponents, .
Add and .
The common factor should be canceled of .
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Cancel the common factor.
First, divide by .
Solve the exponent.
Add and .
therefore .
Clarify .
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First, multiply by .
Combine and Clarify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to Add exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
The common factor should be canceled.
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Clarify the numerator.
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Add using the product rule for radicals.
First, multiply by .
Approximate the result.
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