Question

(tg 30° - sin 60°)(sin 135°- tg 135°)​

Answer 1

Объяснение:

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Answer 2

Let's break down the expression step by step:

1. tg 30° = tan 30° = 1/sqrt(3)
2. sin 60° = √3/2
3. sin 135° = -√2/2
4. tg 135° = tan 135° = -1

Now let's plug in these values into the expression:

(tg 30° - sin 60°)(sin 135° - tg 135°) = (1/sqrt(3) - √3/2)(-√2/2 - (-1)) = (1/sqrt(3) - √3/2)(-√2/2 + 1) = (1/sqrt(3) - √3/2)(1 - √2/2) = 1/sqrt(3) - √3/2 - √2/2 + √6/2

This is the simplified expression for the given expression. You could leave it in this form or approximate the numeric value if needed.