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
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
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:
Apply rule
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
General solutions for
periodicity table with cycle:
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
9sin^2(θ)+19sin(θ)+8=7sin(θ)+4arccos(x)=(7pi)/8(sin(37))/(23)=(sin(x))/(21)csc(x)= 1/3(cot(x)+1)(sqrt(3)tan(x)-1)=0
Frequently Asked Questions (FAQ)
What is the general solution for 2sin^2(x)-1=cos(x) ?
The general solution for 2sin^2(x)-1=cos(x) is x=pi+2pin,x= pi/3+2pin,x=(5pi)/3+2pin