Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Apply exponent rule:
Add the numbers:
Express with sin, cos
Simplify
Multiply fractions:
Cancel the common factor:
Add to both sides
Square both sides
Subtract from both sides
Factor
Apply exponent rule:
Apply Difference of Two Squares Formula:
Refine
Solving each part separately
Rewrite using trig identities
Use the Pythagorean identity:
Simplify
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:
Divide the numbers:
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:
Combine all the solutions
Rewrite using trig identities
Use the Pythagorean identity:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Apply rule
Apply rule
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
Subtract the numbers:
Multiply the numbers:
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
Combine all the solutions
Verify solutions by plugging them into the original equation
Check the solutions by plugging them into
Remove the ones that don't agree with the equation.
Check the solution False
Plug in
For plug in
Check the solution True
Plug in
For plug in
Refine
Check the solution True
Plug in
For plug in
Refine
Popular Examples
-10sin^2(t)=0solvefor x,e^ycos(2x)+y=1solve for cos(θ)=0.4,sec(θ)-pi/2 sin((pix)/2)=0cot(θ)=(1+cos^2(θ))/(2sin(θ)cos(θ))
Frequently Asked Questions (FAQ)
What is the general solution for sec(x)-(sin(x))/(cos(x))=cos(x) ?
The general solution for sec(x)-(sin(x))/(cos(x))=cos(x) is x=2pin,x=pi+2pin