Question

Зная , что sin a + cos a =0,6. Найдите sin a •cos a

Answer 1

Возвышаем обе части равенства в квадрат и получаем, что

sin a*cos a=-0,32.

Answer 2

To find the value of sin(a) * cos(a) given that sin(a) + cos(a) = 0.6, we can use trigonometric identities.

Let's square both sides of the equation sin(a) + cos(a) = 0.6:

(sin(a) + cos(a))^2 = (0.6)^2

Expanding the left side of the equation:

sin^2(a) + 2sin(a)cos(a) + cos^2(a) = 0.36

Since sin^2(a) + cos^2(a) = 1 (by the Pythagorean identity), we can substitute this in the equation:

1 + 2sin(a)cos(a) = 0.36

Rearranging the equation:

2sin(a)cos(a) = 0.36 - 1

2sin(a)cos(a) = -0.64

Now, we can solve for sin(a) * cos(a) by dividing both sides of the equation by 2:

sin(a) * cos(a) = -0.64 / 2

sin(a) * cos(a) = -0.32

Therefore, sin(a) * cos(a) is equal to -0.32.