Find the Exact Value sec(arcsin(minus one divide two))

Find the Exact Value sec(arcsin(-1/2))
Draw a triangle in the plane with vertices , , and the origin. Then is the angle between the positive x-axis and the ray beginning at the origin and passing through . Therefore, is .
Clarify the denominator.
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One raised to any power equals one.
Apply the power rule for exponent distribution.
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Apply the product rule to .
Use the product rule for .
First, multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to Add exponents.
Add and .
Raise to the power of .
One to any power is one.
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Add.
Multiply by .
Add numerators over the common denominator.
Clarify the numerator.
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First, multiply by .
Subtract from .
Should be rewritten as .
Clarify the denominator.
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Rewrite as .
Withdraw terms from under the radical, assuming positive real numbers.
Multiply the numerator by the denominator's reciprocal.
Multiply by .
Multiply by .
Add and then 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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Rewrite as .
Use the power rule when multiplying the exponents, .
Combine and .
The common factor should be canceled of .
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Cancel the common factor.
First, divide by .
Solve the exponent.
The result can be displayed in a variety of ways.
Exact Form:
Decimal Form:
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