Question

1) sin 30° ( разделить на ) cos 60° + cos30° ( разделить на ) tan 45° - 2cos60° 2) sin 90°· cos 90° + cos180° · tan60° + sin270°3) sin30° ( разделить на ) cos60° + cos 30° ( разделить на ) tan 45° + 2cos60°

Answer 1

Смотри................

Answer 2

Let's solve each of the expressions step by step:

1. sin 30° / cos 60° + cos 30° / tan 45° - 2cos 60°

Step 1: Evaluate the trigonometric functions: sin 30° = 1/2 cos 60° = 1/2 cos 30° = √3/2 tan 45° = 1 (because tan x = sin x / cos x, and sin 45° = cos 45° = 1/√2, so tan 45° = (1/√2) / (1/√2) = 1)

Step 2: Substitute the values: (1/2) / (1/2) + (√3/2) / 1 - 2 * (1/2)

Step 3: Simplify: 1 + (√3/2) - 1 = √3/2

So, the answer is √3/2.

2. sin 90° · cos 90° + cos 180° · tan 60° + sin 270°

Step 1: Evaluate the trigonometric functions: sin 90° = 1 cos 90° = 0 cos 180° = -1 tan 60° = √3

Step 2: Substitute the values: 1 · 0 + (-1) · √3 + (-1)

Step 3: Simplify: 0 - √3 - 1 = -√3 - 1

So, the answer is -√3 - 1.

3. sin 30° / cos 60° + cos 30° / tan 45° + 2cos 60°

Step 1: Evaluate the trigonometric functions: sin 30° = 1/2 cos 60° = 1/2 cos 30° = √3/2 tan 45° = 1

Step 2: Substitute the values: (1/2) / (1/2) + (√3/2) / 1 + 2 * (1/2)

Step 3: Simplify: 1 + (√3/2) + 1 = 2 + (√3/2)

So, the answer is 2 + (√3/2).