Trigonometry Examples

Solve for x sin(x)=- square root of 3/2
Step 1
Simplify .
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Step 1.1
Rewrite as .
Step 1.2
Multiply by .
Step 1.3
Combine and simplify the denominator.
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Step 1.3.1
Multiply by .
Step 1.3.2
Raise to the power of .
Step 1.3.3
Raise to the power of .
Step 1.3.4
Use the power rule to combine exponents.
Step 1.3.5
Add and .
Step 1.3.6
Rewrite as .
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Step 1.3.6.1
Use to rewrite as .
Step 1.3.6.2
Apply the power rule and multiply exponents, .
Step 1.3.6.3
Combine and .
Step 1.3.6.4
Cancel the common factor of .
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Step 1.3.6.4.1
Cancel the common factor.
Step 1.3.6.4.2
Rewrite the expression.
Step 1.3.6.5
Evaluate the exponent.
Step 1.4
Simplify the numerator.
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Step 1.4.1
Combine using the product rule for radicals.
Step 1.4.2
Multiply by .
Step 2
The range of sine is . Since does not fall in this range, there is no solution.
No solution