Solution
Solution
+1
Degrees
Solution steps
Rewrite using trig identities
Use the Double Angle identity:
Simplify
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Expand
Expand
Apply the distributive law:
Apply minus-plus rules
Simplify
Multiply:
Apply exponent rule:
Add the numbers:
Add similar elements:
Solve by substitution
Let:
Solve
Factor
Apply exponent rule:
Factor out common term
Using the Zero Factor Principle: If then or
Solve
Move to the right side
Subtract from both sides
Simplify
For the solutions are
Simplify
Apply imaginary number rule:
Simplify
Apply imaginary number rule:
The solutions are
Verify Solutions
Find undefined (singularity) points:
Take the denominator(s) of and compare to zero
Solve
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
For the solutions are
Apply radical rule:
Apply radical rule:
The following points are undefined
Combine undefined points with solutions:
Substitute back
General solutions for
periodicity table with cycle:
Solve
Solutions for the range
No Solution
Solutions for the range
No Solution
Solutions for the range
Combine all the solutions
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for tan(2θ)-tan(θ)=0,0<θ<2pi ?
The general solution for tan(2θ)-tan(θ)=0,0<θ<2pi is θ=pi