Solution
Solution
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
Simplify
Apply rule
Apply rule
Multiply the numbers:
Subtract the numbers:
Apply radical rule:
Apply imaginary number rule:
Separate the solutions
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
Rewrite in standard complex form:
Apply the fraction rule:
Remove parentheses:
Remove parentheses:
Multiply the numbers:
Apply the fraction rule:
Rewrite in standard complex form:
Apply the fraction rule:
Apply rule
The solutions to the quadratic equation are:
Substitute back
No Solution
No Solution
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for 4sin^2(x)+cos(x)=7 ?
The general solution for 4sin^2(x)+cos(x)=7 is No Solution for x\in\mathbb{R}