Trigonometry Examples

Solve for b square root of 3=69/b
Step 1
Rewrite the equation as .
Step 2
Find the LCD of the terms in the equation.
Tap for more steps...
Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
The LCM of one and any expression is the expression.
Step 3
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
Tap for more steps...
Step 3.2.1
Cancel the common factor of .
Tap for more steps...
Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 4
Solve the equation.
Tap for more steps...
Step 4.1
Rewrite the equation as .
Step 4.2
Divide each term in by and simplify.
Tap for more steps...
Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
Tap for more steps...
Step 4.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
Tap for more steps...
Step 4.2.3.1
Multiply by .
Step 4.2.3.2
Combine and simplify the denominator.
Tap for more steps...
Step 4.2.3.2.1
Multiply by .
Step 4.2.3.2.2
Raise to the power of .
Step 4.2.3.2.3
Raise to the power of .
Step 4.2.3.2.4
Use the power rule to combine exponents.
Step 4.2.3.2.5
Add and .
Step 4.2.3.2.6
Rewrite as .
Tap for more steps...
Step 4.2.3.2.6.1
Use to rewrite as .
Step 4.2.3.2.6.2
Apply the power rule and multiply exponents, .
Step 4.2.3.2.6.3
Combine and .
Step 4.2.3.2.6.4
Cancel the common factor of .
Tap for more steps...
Step 4.2.3.2.6.4.1
Cancel the common factor.
Step 4.2.3.2.6.4.2
Rewrite the expression.
Step 4.2.3.2.6.5
Evaluate the exponent.
Step 4.2.3.3
Cancel the common factor of and .
Tap for more steps...
Step 4.2.3.3.1
Factor out of .
Step 4.2.3.3.2
Cancel the common factors.
Tap for more steps...
Step 4.2.3.3.2.1
Factor out of .
Step 4.2.3.3.2.2
Cancel the common factor.
Step 4.2.3.3.2.3
Rewrite the expression.
Step 4.2.3.3.2.4
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: