# Evaluate tan(45)+tan(30)

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Combine like terms for tan(45) + tan(30)

We first need to simplify the expression removing parentheses
Simplify n(45): Distribute the n to each term in (45)
n * 45 = (1 * 45)n = 45n
Our Total expanded term is 45n

Simplify n(30): Distribute the n to each term in (30)
n * 30 = (1 * 30)n = 30n
Our Total expanded term is 30n

Our updated term to work with is ta45n + ta30n

Evaluate the ta45 terms:
ta45 ← There is only one ta45 term

Evaluate the n terms:
n + n
(1 + 1)n
2n

Evaluate the ta30 terms:
ta30 ← There is only one ta30 term

Combining all like terms, we get:
2n + ta

Analyze the 2 terms of the polynomial 2n + ta

Analyze Term 1
Term 1 is 2n
Our coefficient/constant is the number our term begins which is 2
Our variable is the letter which is n
No exponent exists for this term
Analyze Term 2
Term 2 is t
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is t
No exponent exists for this term
Determine the Degree of the Polynomial: