Question

-1 cos(a-b) / sina * sinb​

Answer 1

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Answer 2

To simplify the expression (-1 * cos(a - b)) / (sin(a) * sin(b)), we can start by applying trigonometric identities.

Let's begin by using the identity cos(a - b) = cos(a) * cos(b) + sin(a) * sin(b):

(-1 * cos(a - b)) / (sin(a) * sin(b)) = (-1 * (cos(a) * cos(b) + sin(a) * sin(b))) / (sin(a) * sin(b))

Now, let's simplify further:

= -cos(a) * cos(b) / (sin(a) * sin(b)) - sin(a) * sin(b) / (sin(a) * sin(b))

= -cos(a) * cos(b) / (sin(a) * sin(b)) - 1

Therefore, the simplified expression is: -cos(a) * cos(b) / (sin(a) * sin(b)) - 1.