1.

√3 + tg15° = √3 + tg(45°-30°) = √3 + tg45° - tg30°/1 + tg45°×tg30° = √3 + 1 - √3/3 / 1 + 1×√3/3 = √3 + 1 - √3/3 / 1 + √3/3 = √3 + 3-√3/3 / 3+√3/3 = √3 + 3-√3/3+√3 = √3 + (3 - √3)×(3 - √3)/6 = √3 + (3 - √3)²/6 = √3 + 9 - 6√3 + 3/6 = √3 + 12-6√3/6 = √3 + 6(2-√3)/6 = √3+2-√3 = 2

Ответ: d) 2

2.

8sin15° × cos15° + √3 × tg60° = 4sin30° + √3 × √3 = 4×1/2 + (√3)² = 2+3 = 5

Ответ: c) 5

3.

а) tg225° + sin30° = tg(180°+45°) + 1/2 = tg45° + 1/2 = 1 + 1/2 = 3/2 = 1,5

б) √2 × cos315° = √2 × cos(360°-45°) = √2 × cos(-45°) = √2 × cos45° = √2 × √2/2 = (√2)²/2 = 2/2 = 1

Ответ: а) 1,5    б) 1