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:
Simplify
Group like terms
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
Apply rule
Add the numbers:
Apply 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
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Solve
Combine all the solutions
Popular Examples
cos(x)-cos^3(x)=0cos(x)=-cos(x)sqrt(3)sin(x)sec(x)=2sin(x),0<= x<= 2pi2cos(x)=3,0<= x<= 2pi7sin(θ)=5
Frequently Asked Questions (FAQ)
What is the general solution for 2cos^2(θ)=2+sin(θ) ?
The general solution for 2cos^2(θ)=2+sin(θ) is θ=(7pi)/6+2pin,θ=(11pi)/6+2pin,θ=2pin,θ=pi+2pin