How to find any trigonometric ratio of any angle?

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Let's consider some angles viz. 1253°, 1569° etc. , so how can I find the sine, cosine, tangent, cotangent, secant, cosecant of these angles ? Is there any specific formula to do that or do I have to apply different processes to achieve the values for different angles ?

Thanks in advance

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1 Answer

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Here's the procedure : make the euclidean division of your angle by 360, say the rest of that division is $r$.

Now, compute the sine, cosine, tangent, cotangent, secant, cosecant of $r$ : it is the sine, cosine, tangent, cotangent, secant, cosecant (respectively) of your angle.

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