Question

Решить: 1) 2√3 cos 30° * tg 45°; 2)3 tg^2 60° – 4 cos^2 30°.

Answer 1

I hope this helps you

Answer 2

1. To solve the expression 2√3 cos 30° * tg 45°, we'll evaluate each part separately and then multiply them together.

First, let's evaluate the values: cos 30° = √3/2 tg 45° = 1

Now we substitute these values back into the expression: 2√3 cos 30° * tg 45° = 2√3 * (√3/2) * 1

Simplifying further: 2√3 * (√3/2) * 1 = 2 * 3/2 = 3

Therefore, 2√3 cos 30° * tg 45° equals 3.

2. To solve the expression 3 tg^2 60° - 4 cos^2 30°, we'll again evaluate each part separately and then subtract them.

First, let's evaluate the values: tg 60° = √3 cos 30° = √3/2

Now we substitute these values back into the expression: 3 tg^2 60° - 4 cos^2 30° = 3 (√3)^2 - 4 (√3/2)^2

Simplifying further: 3 (√3)^2 - 4 (√3/2)^2 = 3 * 3 - 4 * (3/2)^2 = 9 - 4 * (9/4) = 9 - 9 = 0

Therefore, 3 tg^2 60° - 4 cos^2 30° equals 0.