Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Expand
Apply the distributive law:
Simplify
Multiply the numbers:
Multiply the numbers:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Apply rule
Apply radical rule: assuming
Separate the solutions
Remove parentheses:
Add/Subtract 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:
Solve
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 2cos(2θ)-2=-3sin(θ) ?
The general solution for 2cos(2θ)-2=-3sin(θ) is θ=2pin,θ=pi+2pin,θ=0.84806…+2pin,θ=pi-0.84806…+2pin