Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Group like terms
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
Multiply the numbers:
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:
Cancel the common factor:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
12cos^2(x)-7cos(x)+1=0tan(x/2)tan(x)=-3sin(-x)=-1/3 ,tan(x)=-(sqrt(2))/4solvefor x,h=tan(x-pi/6)solve for sec(θ)+1/(cot(θ))=1
Frequently Asked Questions (FAQ)
What is the general solution for 3sin^2(x)-3sin(x)+cos^2(x)=0 ?
The general solution for 3sin^2(x)-3sin(x)+cos^2(x)=0 is x= pi/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin