Question

3-6sin^2(x/6), при х=3п/2

Answer 1

3-6sin^2 x/6=3-6sin^2 x/6

Answer 2

To find the value of the expression 3 - 6sin^2(x/6) when x = 3π/2, you simply need to substitute the value of x into the expression and evaluate it.

Given: x = 3π/2

Now, let's substitute x into the expression:

3 - 6sin^2(x/6)

3 - 6sin^2((3π/2)/6)

3 - 6sin^2(π/2)

Now, the sine of π/2 is equal to 1:

3 - 6(1)^2

3 - 6 * 1

3 - 6

Finally, calculate the result:

3 - 6 = -3

So, when x = 3π/2, the value of the expression 3 - 6sin^2(x/6) is -3.