Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
Expand
Apply the distributive law:
Multiply the numbers:
Add 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:
Add the numbers:
Factor the number:
Apply radical 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:
Divide the numbers:
The solutions to the quadratic equation are:
Substitute back
General solutions for
periodicity table with cycle:
No Solution
Combine all the solutions
Popular Examples
sec^2(x)tan^2(x)+3sec^2(x)-2tan^2(x)=32cos(x)-3=0cot(x)+6sin(x)-2cos(x)=3cos(2θ)=cos^2(θ)cos(a)= 12/13
Frequently Asked Questions (FAQ)
What is the general solution for 1+2sin^2(x)=-5cos(x) ?
The general solution for 1+2sin^2(x)=-5cos(x) is x=(2pi)/3+2pin,x=(4pi)/3+2pin