Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Simplify
Group like terms
Add/Subtract the numbers:
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
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:
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
tan^2(x)-1=0,0<= x<= pi/210cos(B)+6=4cos(B)+42sin(x)+2sin(x)tan(x)=0solvefor y,x=x(1+tan(y))solve for -9cos^2(θ)+sin(θ)+11=-sin(θ)+2
Frequently Asked Questions (FAQ)
What is the general solution for 9cos(2x)=10sin(x)+1 ?
The general solution for 9cos(2x)=10sin(x)+1 is x=(3pi)/2+2pin,x=0.46055…+2pin,x=pi-0.46055…+2pin