Trigonometry Examples

Expand Using Sum/Difference Formulas tan(60)
tan(60)
Step 1
The angle 60 is an angle where the values of the six trigonometric functions are known. Because this is the case, add 0 to keep the value the same.
tan(60+0)
Step 2
Use the sum formula for tangent to simplify the expression. The formula states that tan(A+B)=tan(A)+tan(B)1-tan(A)tan(B).
tan(60)+tan(0)1-tan(60)tan(0)
Step 3
Simplify the numerator.
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Step 3.1
The exact value of tan(60) is 3.
3+tan(0)1-tan(60)tan(0)
Step 3.2
The exact value of tan(0) is 0.
3+01-tan(60)tan(0)
Step 3.3
Add 3 and 0.
31-tan(60)tan(0)
31-tan(60)tan(0)
Step 4
Simplify the denominator.
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Step 4.1
The exact value of tan(60) is 3.
31-3tan(0)
Step 4.2
The exact value of tan(0) is 0.
31-30
Step 4.3
Multiply -30.
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Step 4.3.1
Multiply 0 by -1.
31+03
Step 4.3.2
Multiply 0 by 3.
31+0
31+0
Step 4.4
Add 1 and 0.
31
31
Step 5
Divide 3 by 1.
3
Step 6
The result can be shown in multiple forms.
Exact Form:
3
Decimal Form:
1.73205080
 [x2  12  π  xdx ]