Question

Sin 45° • tg 60° -√2 • cos 30°​

Answer 1

Відповідь:

Sin 45° • tg 60° -√2 • cos 30°​=√2/2×√3-√2×√3/2=√6/2-√6/2=0.

Answer 2

To calculate the expression sin 45° • tg 60° - √2 • cos 30°, we can start by finding the values of each trigonometric function and then performing the arithmetic operations.

Let's begin by finding the values of the trigonometric functions:

sin 45° = √2 / 2 tg 60° = √3 cos 30° = √3 / 2

Now, substitute these values into the expression:

sin 45° • tg 60° - √2 • cos 30° = (√2 / 2) • √3 - √2 • (√3 / 2) = (√2 * √3) / 2 - (√2 * √3) / 2 = (√6) / 2 - (√6) / 2 = 0

Therefore, the value of the expression sin 45° • tg 60° - √2 • cos 30° is 0.