SOLUTION: tan(pi/6 + pi/4)

Question 151392: tan(pi/6 + pi/4)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Use the identity to expand the expression.

Using the unit circle, evaluate to get and evaluate to get

Multiply

Combine the fractions.

Multiply the first fraction by the reciprocal of the second fraction.

Cancel out the common terms.

Simplify.

Multiply the fraction by

Combine the fractions.

FOIL

Combine like terms

Factor out the GCF

Reduce

So
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