Question

Как будет раскрываться? (tgx/3 +1 )^2

Answer 1

$(tg\frac{x}{3}+1)^2=tg^2\frac{x}{3}+2\cdot tg\frac{x}{3}+1$

Answer 2

Calculation of (tgx/3 + 1)^2

To calculate the expression (tgx/3 + 1)^2, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

1. First, let's simplify the expression inside the parentheses: tgx/3 + 1.

Since we don't have the exact value of x, we cannot determine the exact value of tgx. However, we can still simplify the expression by leaving it in its trigonometric form.

2. Next, we square the expression tgx/3 + 1.

To square a binomial expression, we use the formula (a + b)^2 = a^2 + 2ab + b^2. In this case, a = tgx/3 and b = 1.

Applying the formula, we get:

(tgx/3 + 1)^2 = (tgx/3)^2 + 2(tgx/3)(1) + 1^2

Simplifying further, we have:

(tgx/3 + 1)^2 = (tgx)^2/9 + 2(tgx)/3 + 1

Note that this is the simplified form of the expression (tgx/3 + 1)^2.

Please note that without the exact value of x, we cannot provide a numerical result for the expression. The above steps represent the general process of simplifying and expanding the expression.