Question

1-cos^2альфа/sinальфа cosальфа

Answer 1

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Answer 2

To simplify the expression (1 - cos^2(α)) / (sin(α) * cos(α)), we can use trigonometric identities. First, let's work with the numerator:

1 - cos^2(α) can be simplified using the identity: 1 - cos^2(α) = sin^2(α)

Now, the expression becomes:

sin^2(α) / (sin(α) * cos(α))

Next, we can simplify the denominator by using the identity: sin(2α) = 2 * sin(α) * cos(α)

So, the expression becomes:

sin^2(α) / (2 * sin(α) * cos(α))

Now, we can cancel out one sin(α) term:

(sin(α) * sin(α)) / (2 * sin(α) * cos(α))

Finally, we can cancel out the remaining sin(α) term:

sin(α) / 2

The simplified expression is (sin(α) / 2).