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Trigonometry Examples
Step 1
Step 1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.2
Add and .
Step 1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.2.2
Combine and .
Step 1.2.3
Combine the numerators over the common denominator.
Step 1.2.4
Simplify the numerator.
Step 1.2.4.1
Multiply by .
Step 1.2.4.2
Add and .
Step 2
Combine and .
Step 3
Subtract full rotations of until the angle is greater than or equal to and less than .
Step 4
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 5
The exact value of is .
Step 6
Multiply by .
Step 7
Step 7.1
Multiply by .
Step 7.2
Raise to the power of .
Step 7.3
Raise to the power of .
Step 7.4
Use the power rule to combine exponents.
Step 7.5
Add and .
Step 7.6
Rewrite as .
Step 7.6.1
Use to rewrite as .
Step 7.6.2
Apply the power rule and multiply exponents, .
Step 7.6.3
Combine and .
Step 7.6.4
Cancel the common factor of .
Step 7.6.4.1
Cancel the common factor.
Step 7.6.4.2
Rewrite the expression.
Step 7.6.5
Evaluate the exponent.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: