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 ← There is only one ta45 term

Evaluate the

n + n

(1 + 1)n

2n

Evaluate the

ta30 ← There is only one ta30 term

Analyze the 2 terms of the polynomial 2n + ta

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

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