Question

2sin30°-√3sin60°×ctg45°°×tg30°

Answer 1

2sin30° - √3sin60°×ctg45°×tg30° = 
= 2*1/2 - √3 *√3/2 * 1 * 1/√3 = 
= 1 - √3/2

Answer 2

To simplify the expression 2sin30° - √3sin60° × ctg45° × tg30°, let's break it down step by step:

1. Start by converting the trigonometric functions to their corresponding values:

   • sin 30° = 0.5
   • sin 60° = √3/2
   • ctg 45° = 1 (reciprocal of tan 45°)
   • tg 30° = 1/√3 (reciprocal of cot 30°)

2. Substitute the values into the expression: 2(0.5) - √3(√3/2) × 1 × (1/√3)

3. Simplify the expression further: 1 - 3/2

4. Convert the fractions to have the same denominator: 2/2 - 3/2 = -1/2

Therefore, the simplified value of the expression 2sin30° - √3sin60° × ctg45° × tg30° is -1/2.