Trigonometry Examples

Solve for A cos(A)csc(A)=cot(A)
Step 1
Simplify the left side.
Tap for more steps...
Step 1.1
Simplify .
Tap for more steps...
Step 1.1.1
Rewrite in terms of sines and cosines.
Step 1.1.2
Combine and .
Step 2
Simplify the right side.
Tap for more steps...
Step 2.1
Rewrite in terms of sines and cosines.
Step 3
Multiply both sides of the equation by .
Step 4
Cancel the common factor of .
Tap for more steps...
Step 4.1
Cancel the common factor.
Step 4.2
Rewrite the expression.
Step 5
Cancel the common factor of .
Tap for more steps...
Step 5.1
Cancel the common factor.
Step 5.2
Rewrite the expression.
Step 6
For the two functions to be equal, the arguments of each must be equal.
Step 7
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 7.1
Subtract from both sides of the equation.
Step 7.2
Subtract from .
Step 8
Since , the equation will always be true for any value of .
All real numbers
Step 9
The result can be shown in multiple forms.
All real numbers
Interval Notation: