Trigonometry Examples

Solve for x 2cos(x)tan(x)csc(x)=2
Step 1
Simplify the left side.
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Step 1.1
Simplify .
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Step 1.1.1
Rewrite in terms of sines and cosines, then cancel the common factors.
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Step 1.1.1.1
Add parentheses.
Step 1.1.1.2
Reorder and .
Step 1.1.1.3
Rewrite in terms of sines and cosines.
Step 1.1.1.4
Cancel the common factors.
Step 1.1.2
Rewrite in terms of sines and cosines, then cancel the common factors.
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Step 1.1.2.1
Add parentheses.
Step 1.1.2.2
Reorder and .
Step 1.1.2.3
Rewrite in terms of sines and cosines.
Step 1.1.2.4
Cancel the common factors.
Step 1.1.3
Multiply by .
Step 2
Since , the equation will always be true for any value of .
All real numbers
Step 3
The result can be shown in multiple forms.
All real numbers
Interval Notation: