Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Distribute parentheses
Apply minus-plus rules
Add similar elements:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Apply rule
Apply rule
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
Subtract the numbers:
Multiply the numbers:
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
arcsin(sin((3pi)/4))prove sin(2θ)=2sin(θ)cos(θ)prove sin(2x)+sin(x)=0prove sec^2(x)-tan^2(x)=1prove arcsin(sin((5pi)/4))
Frequently Asked Questions (FAQ)
What is the general solution for sin^2(x)+cos(2x)-cos(x)=0 ?
The general solution for sin^2(x)+cos(2x)-cos(x)=0 is x=2pin,x= pi/2+2pin,x=(3pi)/2+2pin