Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
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 exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Divide the numbers:
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:
General solutions for
periodicity table with cycle:
Solve
Combine all the solutions
Popular Examples
cos(5t)cos(2t)=-sin(5t)sin(2t)solvefor x,cos(x)=sin(y)solve for tan(θ)= 5/83cos^2(x)=9sin(x)+9cos^2(x)-2cos(x)=3
Frequently Asked Questions (FAQ)
What is the general solution for tan^2(x)-3sec(x)+3=0 ?
The general solution for tan^2(x)-3sec(x)+3=0 is x= pi/3+2pin,x=(5pi)/3+2pin,x=2pin