Solution
Solution
Solution steps
Subtract from both sides
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Rewrite using trig identities
Use the basic trigonometric identity:
Multiply fractions:
Cancel the common factor:
Multiply:
Solve by substitution
Let:
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Simplify
Apply exponent rule: if is even
Apply rule
Multiply the numbers:
Subtract the numbers:
Apply radical rule:
Apply imaginary number rule:
Separate the solutions
Apply rule
Multiply the numbers:
Rewrite in standard complex form:
Apply the fraction rule:
Apply rule
Multiply the numbers:
Rewrite in standard complex form:
Apply the fraction rule:
The solutions to the quadratic equation are:
Substitute back
No Solution
No Solution
Combine all the solutions
Popular Examples
sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2(1+csc(A))(1-csc(A))=-cot(A)6cos^2(3x)-cos(3x)-2=0cos(2x)-3cos(x)+1=02cos^2(x)-cos(x)-1=0,0<= x<= 360
Frequently Asked Questions (FAQ)
What is the general solution for (cot(x)+1/(cot(x)))/(cos(x))=sec(x) ?
The general solution for (cot(x)+1/(cot(x)))/(cos(x))=sec(x) is No Solution for x\in\mathbb{R}