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
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Remove parentheses:
Add the numbers:
Multiply the numbers:
Apply the fraction rule:
Divide the numbers:
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
No Solution
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
sin^2(x)=((5m-7))/6sin(θ)=(-4)/(4sqrt(2)),csc(θ)<0sin^2(x)=0.2sin(x)=(sin(45))/(1.3)arctan(x)+arctan(1-x)=arctan(9/7)
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(x)-7sin(x)-5=0 ?
The general solution for 2cos^2(x)-7sin(x)-5=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin