Find the Cosine (-2,pi/6)

Find the Cosine (-2,pi/6)
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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Raise to the power of .
Apply the product rule to .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Simplify the expression.
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Combine the numerators over the common denominator.
Multiply by .
Rewrite as .
Simplify the denominator.
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
therefore .
Simplify .
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Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Combine and simplify the denominator.
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Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Multiply .
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Combine and .
Multiply by .
Move the negative in front of the fraction.
Approximate the result.
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