Find the value of cosec(-570°).


Answer:


Here, to find the value of cosec at -1485° angle we need to make sure that we know the CAST FORMULA. We might need to use formula of cosec at 90-x or 90+x or 180+x or 360-x and so on.

But how do we know which one is the correct? So, let me give you a quick trick!

We have,
(-570°)

Let's try to reduce it somewhere around (0°) by adding (360°)
Here we start,

(-570° + 360°) = (-210°)

We got the value less than 360°

Now we know that

Cosec (-180 - x) = - Cosec x
So,
Cosec (-570°) = Cosec(-180-30) = -Cosec 30° = -2

So, there we go. A detail explanation on finding the values of Cosec(-570°).

Value table:
Cosecx =1/sinx


Also, you need to understand these formulas (a part of CAST formula)






You need to understand the above-mentioned values of Trigonometric ratios at different angles to be able to solve such questions.

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