How to find cosine if known sinus

How to find cosine if known sinus

To begin with, we remember that such concepts as "sinus", "cosine", and also there are still "Kothanns" and "Tangent" refer to such a section of mathematics as trigonometry. It is the ratio of the opposite of this corner of the category to the hypotenuse and is called a sine of acute angle. And the ratio adjacent to this corner of the category for hypotenuse - cosine.



1
How to find a cosine through a square root if the sinus is known

For all types of angles α, one designation is characterized:

sin. 2 α + Cos. 2 α = 1.

It connects the cosine and sinus of one corner. Provided that we are known for sinus, we can find the second value without problems - you need to remove the square root:

cos. α \u003d ± √1 - sin 2 α. 

Pay special attention to a sign that should stand before the root sign. This can be determined by contacting the coordinate quarter. For sinus is a positive stay in 1 and 2 quarters, and for cosine - in 1 and 4.



2
How to find cosine through the formula of bringing if the sinus is known

It is such a formula plan that one can boldly call formulas.

Here f. means any trigonometric function, - Cofunction, which corresponds to it (sinus for cosine, cosine for sinus, etc.). A n -any integer. In front of the front, select the one that has an initial function for a coordinate quarter.

cOS ( π/ 2 - α) \u003d sin α.

Below is the sign of some formulas of the lifting.

Which of the above ways choose you - decide, of course, you. But more convenient, most often used, the first way is considered. It is he who is used in mathematics lessons. Easy to you achieve and good ratings.

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