Question

Cos(90°-a)+sin(270°-a)-cos(450°-a)

Answer 1

cos(90°-a)+sin(270°-a)-cos(450°-a)

sin(a)+sin(270°-a)-sin(a)

(можно сократить противоположные выражения sin(a) и -sin(a))

получается -cos(a)

Answer 2

Ответ:

- cos(a)

Объяснение:

$\sin( \alpha ) - \cos( \alpha ) - \sin( \alpha ) = - \cos( \alpha )$

Answer 3

To simplify the expression cos(90°-a) + sin(270°-a) - cos(450°-a), we can use trigonometric identities.

1. cos(90°-a) = sin(a) [Using the identity cos(90° - x) = sin(x)]

2. sin(270°-a) = -cos(a) [Using the identity sin(270° - x) = -cos(x)]

3. cos(450°-a) = cos(a) [Using the identity cos(360° + x) = cos(x)]

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

sin(a) - cos(a) - cos(a)

Next, we can combine like terms:

sin(a) - 2cos(a)

So, the simplified expression is sin(a) - 2cos(a).