Question

Cos45*cos(-30)*tg60/tg(-30)

Answer 1

cos45° * cos(-30°) * tg 60° / tg(-30°) = (√2)/2 * (√3)/2 * √3 / (-√3)/3 = (√6)/4 * (-3) = (-3√6)/4

Answer 2

To simplify the expression, let's break it down step by step:

cos(45) = √2/2 (cosine of 45 degrees) cos(-30) = √3/2 (cosine of -30 degrees) tan(60) = √3 (tangent of 60 degrees) tan(-30) = -1/√3 (tangent of -30 degrees)

Now let's substitute these values into the expression:

(√2/2) * (√3/2) * (√3) / (-1/√3)

Simplifying further:

(√2 * √3 * √3) / (2 * 2 * -1)

Taking the square roots and simplifying:

(√6 * √3) / (-4)

Multiplying the square roots:

(√18) / (-4)

Simplifying the expression:

-√18 / 4

Therefore, cos(45) * cos(-30) * tan(60) / tan(-30) simplifies to -√18 / 4.