Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the basic trigonometric identity:
Multiply fractions:
Multiply the numbers:
Solve by substitution
Let:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Apply exponent rule:
Add the numbers:
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply rule
Solve
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Divide the numbers:
Apply rule
Subtract the numbers:
Multiply the numbers:
Apply rule
The solutions to the quadratic equation are:
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
The following points are undefined
Combine undefined points with solutions:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 2sin(x)+csc(x)=3 ?
The general solution for 2sin(x)+csc(x)=3 is x= pi/6+2pin,x=(5pi)/6+2pin,x= pi/2+2pin