Trigonometry Examples

Solve for x natural log of cos(x)^2+ natural log of 1+tan(x)^2=0
Step 1
Simplify the left side.
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Step 1.1
Factor out of .
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Step 1.1.1
Multiply by .
Step 1.1.2
Multiply by .
Step 1.1.3
Factor out of .
Step 1.2
Rearrange terms.
Step 1.3
Apply pythagorean identity.
Step 1.4
Multiply by .
Step 1.5
Use the product property of logarithms, .
Step 1.6
Rewrite in terms of sines and cosines.
Step 1.7
Apply the product rule to .
Step 1.8
Cancel the common factor of .
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Step 1.8.1
Cancel the common factor.
Step 1.8.2
Rewrite the expression.
Step 1.9
One to any power is one.
Step 1.10
The natural logarithm of is .
Step 2
The equation is always true for any value of .
All real numbers
Step 3
The result can be shown in multiple forms.
All real numbers
Interval Notation: