Trigonometry Examples

Find Trig Functions Using Identities sin(theta)=-( square root of 2)/2
Step 1
To find the value of , use the fact that then substitute in the known values.
Step 2
Simplify the result.
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Step 2.1
Cancel the common factor of and .
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Step 2.1.1
Rewrite as .
Step 2.1.2
Move the negative in front of the fraction.
Step 2.2
Multiply the numerator by the reciprocal of the denominator.
Step 2.3
Multiply by .
Step 2.4
Multiply by .
Step 2.5
Combine and simplify the denominator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Raise to the power of .
Step 2.5.3
Raise to the power of .
Step 2.5.4
Use the power rule to combine exponents.
Step 2.5.5
Add and .
Step 2.5.6
Rewrite as .
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Step 2.5.6.1
Use to rewrite as .
Step 2.5.6.2
Apply the power rule and multiply exponents, .
Step 2.5.6.3
Combine and .
Step 2.5.6.4
Cancel the common factor of .
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Step 2.5.6.4.1
Cancel the common factor.
Step 2.5.6.4.2
Rewrite the expression.
Step 2.5.6.5
Evaluate the exponent.
Step 2.6
Cancel the common factor of .
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Step 2.6.1
Cancel the common factor.
Step 2.6.2
Divide by .