Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Group like terms
Add similar elements:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply exponent rule: if is even
Apply rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
2sin^2(x)=1,+[0,+2pi]sqrt(3)sin(x)-2sin(x)cos(x)=0sin(x)= 33/803sin(x)+5=-2sin(x)solvefor a,s(t)=tan(at+pi)solve for
Frequently Asked Questions (FAQ)
What is the general solution for cos^2(x)=sin(x)+sin^2(x) ?
The general solution for cos^2(x)=sin(x)+sin^2(x) is x=(3pi)/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin