Finite Math Examples

Solve for x sin(2a)=130/(280^2)
Step 1
Simplify .
Tap for more steps...
Step 1.1
Raise to the power of .
Step 1.2
Cancel the common factor of and .
Tap for more steps...
Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factors.
Tap for more steps...
Step 1.2.2.1
Factor out of .
Step 1.2.2.2
Cancel the common factor.
Step 1.2.2.3
Rewrite the expression.
Step 2
Take the inverse sine of both sides of the equation to extract from inside the sine.
Step 3
Simplify the right side.
Tap for more steps...
Step 3.1
Evaluate .
Step 4
Divide each term in by and simplify.
Tap for more steps...
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Tap for more steps...
Step 4.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Tap for more steps...
Step 4.3.1
Divide by .
Step 5
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Step 6
Solve for .
Tap for more steps...
Step 6.1
Subtract from .
Step 6.2
Divide each term in by and simplify.
Tap for more steps...
Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
Tap for more steps...
Step 6.2.2.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
Tap for more steps...
Step 6.2.3.1
Divide by .
Step 7
Find the period of .
Tap for more steps...
Step 7.1
The period of the function can be calculated using .
Step 7.2
Replace with in the formula for period.
Step 7.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 7.4
Cancel the common factor of .
Tap for more steps...
Step 7.4.1
Cancel the common factor.
Step 7.4.2
Divide by .
Step 8
The period of the function is so values will repeat every radians in both directions.
, for any integer