Solution
Solution
+1
Degrees
Solution steps
Subtract from both sides
Rewrite using trig identities
Use the basic trigonometric identity:
Solve by substitution
Let:
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Apply exponent rule:
Add the numbers:
Simplify
Multiply fractions:
Cancel the common factor:
Simplify
Apply rule
Solve
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Multiply the numbers:
Subtract the numbers:
Separate the solutions
Apply rule
Multiply the numbers:
Apply rule
Multiply the numbers:
The solutions to the quadratic equation are:
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
The following points are undefined
Combine undefined points with solutions:
Substitute back
Apply trig inverse properties
General solutions for
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
3sin(B)-2=5sin(B)-1sin(x)=sin(-x)3cos(θ)+sqrt(2)=0-cot(x)-3cos(x)=-cot(x)cos(x)-3cos(x)6cos^2(x)+3cos(x)=0
Frequently Asked Questions (FAQ)
What is the general solution for tan(x)+cot(x)=3 ?
The general solution for tan(x)+cot(x)=3 is x=0.36486…+pin,x=1.20593…+pin