Trigonometry Examples

Find All Complex Number Solutions cos(pi/6) = square root of 3/2
Step 1
Divide by .
Step 2
Simplify .
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Step 2.1
Rewrite as .
Step 2.2
Multiply by .
Step 2.3
Combine and simplify the denominator.
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Step 2.3.1
Multiply by .
Step 2.3.2
Raise to the power of .
Step 2.3.3
Raise to the power of .
Step 2.3.4
Use the power rule to combine exponents.
Step 2.3.5
Add and .
Step 2.3.6
Rewrite as .
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Step 2.3.6.1
Use to rewrite as .
Step 2.3.6.2
Apply the power rule and multiply exponents, .
Step 2.3.6.3
Combine and .
Step 2.3.6.4
Cancel the common factor of .
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Step 2.3.6.4.1
Cancel the common factor.
Step 2.3.6.4.2
Rewrite the expression.
Step 2.3.6.5
Evaluate the exponent.
Step 2.4
Simplify the numerator.
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Step 2.4.1
Combine using the product rule for radicals.
Step 2.4.2
Multiply by .
Step 3
Since , there are no solutions.
No solution