Trigonometry Examples

Verify the Identity sec(x)-cos(x)=sin(x)tan(x)
Step 1
Start on the left side.
Step 2
Apply the reciprocal identity to .
Step 3
Write as a fraction with denominator .
Step 4
Add fractions.
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Step 4.1
To write as a fraction with a common denominator, multiply by .
Step 4.2
Multiply by .
Step 4.3
Combine the numerators over the common denominator.
Step 5
Multiply .
Step 6
Apply pythagorean identity.
Step 7
Rewrite as .
Step 8
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity