Question

(2+tg^2a+ctg^2a)*tg^2a

Answer 1

Объяснение:

только так получилось

Answer 2

(2+tg²a+ctg²2a)*tg²2a= 2tg²a+tg⁴a +1 = (tg²a+1)²

Answer 3

To simplify the expression (2 + tg^2a + ctg^2a) * tg^2a, let's break it down step by step:

1. Start with the expression: (2 + tg^2a + ctg^2a) * tg^2a

2. We know that tg^2a is the square of the tangent of angle a, and ctg^2a is the square of the cotangent of angle a. Let's substitute these values:

(2 + tan^2a + cot^2a) * tan^2a

3. Since tan^2a + cot^2a equals 1 for any angle a, we can simplify the expression further:

(2 + 1) * tan^2a

4. Simplify the addition:

3 * tan^2a

So, the simplified expression is 3 * tan^2a.