Question

Find the minimum value of cosic0​

Answer 1

Answer:

Minimum value of cosecθ tends to -∞

Okay, we have to find the minimum value of cosecθ

As you know, cosecθ is the reciprocal of sinθ.

And range of sinθ ∈ [ -1, 1]

means, -1 ≤ sinθ ≤ 1

But you know, cosecθ is undefined at 0°, 180°, 270°

So, in range of cosecθ isn't included (-1, 1) values. because cosecθ will be undefined in this range.

Range of cosecθ ∈ R - (-1, 1)

So, cosecθ ∈ (-∞, -1] U [1, ∞ )

Then, minimum value of cosecθ tends to be -∞

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Hope it helps

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