Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Express with sin, cos
Use the basic trigonometric identity:
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the Double Angle identity:
Factor
Rewrite as
Factor out common term
Solving each part separately
General solutions for
periodicity table with cycle:
Rewrite using trig identities
Use the Double Angle identity:
Distribute parentheses
Apply minus-plus rules
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Multiply the numbers:
Add the numbers:
Factor the number:
Apply radical rule:
Separate the solutions
Add/Subtract the numbers:
Multiply the numbers:
Cancel the common factor:
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:
Combine all the solutions
Combine all the solutions
Popular Examples
3sec^2(θ)-2tan^2(θ)-4=0cos^2(x)+5sin^2(x)=2(sin(x))^{(sin(x))}= 1/(sqrt(2))(d^2-4)=cos^2(x)cos(3θ)=4cos(3θ)-3cos(θ)
Frequently Asked Questions (FAQ)
What is the general solution for tan(2x)=2cos(x) ?
The general solution for tan(2x)=2cos(x) is x= pi/2+2pin,x=(3pi)/2+2pin,x= pi/6+2pin,x=(5pi)/6+2pin