Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Move to the left side
Subtract from both sides
Simplify
Move to the left side
Subtract from both sides
Simplify
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
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
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:
Solve
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply the fraction rule:
Multiply the numbers:
Divide the numbers:
General solutions for
periodicity table with cycle:
Solve
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply the fraction rule:
Multiply the numbers:
Divide the numbers:
Solve
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Simplify
Apply the fraction rule:
Multiply the numbers:
Divide the numbers:
Combine all the solutions
Popular Examples
sin(2x)-cos(x)=0,0<= x<= 2picsc(θ)=-2/(sqrt(3))2cos(x/2)+sqrt(3)=01/(cos(x))=-225sin(x)cos(x)-5sin(x)+20cos(x)=4
Frequently Asked Questions (FAQ)
What is the general solution for 2sin^2(2θ)=1+sin(2θ) ?
The general solution for 2sin^2(2θ)=1+sin(2θ) is θ= pi/4+pin,θ=(7pi)/(12)+pin,θ=(11pi)/(12)+pin