Question

Sina*sin(3п/2+a) при a=п/12

Answer 1

Ответ:

Пошаговое объяснение:

=sina*(-cosa)=-1/2 *sin2a=-1/2sin(2π/12)=-1/2sinπ/6=-1/4

Answer 2

To calculate the value of the expression Sina*sin(3π/2 + a) when a = π/12, we first need to find the values of sin(3π/2) and sin(a) separately and then multiply them together.

1. sin(3π/2): The sine of 3π/2 is equal to -1. So, sin(3π/2) = -1.

2. sin(a) when a = π/12: To find sin(π/12), you can use a calculator or trigonometric identities. Since sin(π/12) is not a commonly known value, I'll provide the exact value:

sin(π/12) = (√6 - √2) / 4 ≈ 0.2588190451 (rounded to 10 decimal places).

Now, multiply sin(3π/2) by sin(π/12):

Sina*sin(3π/2 + a) = (-1) * sin(π/12) ≈ -0.2588190451.

So, when a = π/12, the value of the expression is approximately -0.2588 (rounded to four decimal places).