Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Apply rule
Add the numbers:
Apply rule
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Apply rule
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:
Solve
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
sin^2(x)-1=0,0<= x<2pisqrt(2)sin^2(x)-cos(x)=0sin^4(x)-cos^4(x)=0tan(θ)cos(θ)+cos(θ)=0sin(x)=cos(x),0<= x<= 2pi
Frequently Asked Questions (FAQ)
What is the general solution for sin(x)+cos^2(x)=1 ?
The general solution for sin(x)+cos^2(x)=1 is x=2pin,x=pi+2pin,x= pi/2+2pin