Solution
Solution
+1
Degrees
Solution steps
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 rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Solve
Combine all the solutions
Popular Examples
1-sin(x-(3pi)/2)=-sin(x-pi/2)sin(x+pi/2)=(sqrt(3))/2sqrt(3)tan(2x)=-12tan^2(3x)=65cos(x)+1=-2sin^2(x)
Frequently Asked Questions (FAQ)
What is the general solution for cos(x)+sin^2(x)-cos^2(x)=0 ?
The general solution for cos(x)+sin^2(x)-cos^2(x)=0 is x=(2pi)/3+2pin,x=(4pi)/3+2pin,x=2pin