Question

Sin60 + √2tg135° - cos150°

Answer 1

Ответ:  √3-√2.

Пошаговое объяснение:

sin 60=√3/2;

tg 135=-1;

cos 150=-√3/2;

--------------

√3/2+√2 * (-1)  - (-√3/2)  =√3/2-√2 +√3/2=√3-√2.

Answer 2

Let's break down the expression step by step:

1. sin(60°): The sine of 60 degrees is √3/2.

2. √2 * tan(135°): The tangent of 135 degrees is -1, so √2 * (-1) is equal to -√2.

3. cos(150°): The cosine of 150 degrees is -√3/2.

Now, let's plug these values back into the original expression:

√3/2 - √2 - (-√3/2)

Now, let's simplify:

√3/2 + √3/2 - √2

Combine the like terms:

(√3/2 + √3/2) - √2

2(√3/2) - √2

Now, let's rationalize the denominator by multiplying both the numerator and denominator by 2:

(2√3 - √4) / 2

√3 - √4 is equal to 2, so:

(2√3 - 2) / 2

Now, simplify further by dividing both terms by 2:

(√3 - 1)

So, the final result is (√3 - 1).