Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Add/Subtract the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Multiply the numbers:
Subtract the numbers:
Apply rule
Separate the solutions
Remove parentheses:
Add/Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
Cancel the common factor:
Remove parentheses:
Subtract the numbers:
Multiply the numbers:
Apply the fraction rule:
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
3sin(x)tan(x)+sqrt(3)sin(x)=0sin(z)+cos(z)=212sin^2(t)+cos(t)-4=2-3tan(θ)-11=3tan(θ)-6cos^2(x)-6cos(x)-1=0
Frequently Asked Questions (FAQ)
What is the general solution for 2sin^2(θ)+3cos(θ)-3=0 ?
The general solution for 2sin^2(θ)+3cos(θ)-3=0 is θ= pi/3+2pin,θ=(5pi)/3+2pin,θ=2pin