Trigonometry Examples

Solve for x sin(2x)=(2cot(x))/(csc(x)^2)
Step 1
Multiply both sides by .
Step 2
Simplify.
Tap for more steps...
Step 2.1
Simplify the left side.
Tap for more steps...
Step 2.1.1
Simplify .
Tap for more steps...
Step 2.1.1.1
Rewrite in terms of sines and cosines.
Step 2.1.1.2
Simplify the expression.
Tap for more steps...
Step 2.1.1.2.1
Apply the product rule to .
Step 2.1.1.2.2
One to any power is one.
Step 2.1.1.3
Combine and .
Step 2.1.1.4
Apply the sine double-angle identity.
Step 2.1.1.5
Cancel the common factor of and .
Tap for more steps...
Step 2.1.1.5.1
Factor out of .
Step 2.1.1.5.2
Cancel the common factors.
Tap for more steps...
Step 2.1.1.5.2.1
Factor out of .
Step 2.1.1.5.2.2
Cancel the common factor.
Step 2.1.1.5.2.3
Rewrite the expression.
Step 2.1.1.6
Separate fractions.
Step 2.1.1.7
Convert from to .
Step 2.1.1.8
Divide by .
Step 2.2
Simplify the right side.
Tap for more steps...
Step 2.2.1
Cancel the common factor of .
Tap for more steps...
Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 3
Solve for .
Tap for more steps...
Step 3.1
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Since , the equation will always be true for any value of .
All real numbers
All real numbers
Step 4
The result can be shown in multiple forms.
All real numbers
Interval Notation: