Solution
Solution
+1
Radians
Solution steps
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Simplify
Group like terms
Add 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
Apply rule
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:
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
No Solution
General solutions for
periodicity table with cycle:
Solutions for the range
Combine all the solutions
Popular Examples
2sqrt(2)cos(x)-4sin(x)cos(x)=0-sin(x)-2sin(2x)=0sin(pi/6-x)=1solvefor t,F=4cos(-2t+7)+Csolve for solvefor c,2=4sin(0.5(0-c))+2solve for
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(x)-sin(x)+1=0,0<= x<= 180 ?
The general solution for 2cos^2(x)-sin(x)+1=0,0<= x<= 180 is x=90