# How do you find the cosine?

**How do you find the cosine?**In

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In any right triangle, the **cosine** of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as ‘**cos**‘. Often remembered as “CAH” – meaning Cosine is Adjacent over Hypotenuse.

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Herein, how do you calculate cosine?

**In any right angled triangle, for any angle:**

- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Similarly, what is tan equal to? The tangent of x is defined to be its sine divided by its cosine: **tan** x = sin x cos x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

Beside this, how do you find inverse cosine?

With **inverse cosine**, we select the angle on the top half of the unit circle. Thus **cos**^{–}^{1} (–½) = 120° or **cos**^{–}^{1} (–½) = 2π/3. In other words, the range of **cos**^{–}^{1} is restricted to [0, 180°] or [0, π]. Note: arccos refers to “arc **cosine**“, or the radian **measure** of the arc on a circle corresponding to a given value of **cosine**.

What is COS equal to?

Always, always, the sine of an angle is **equal to** the opposite side divided by the hypotenuse (opp/hyp in the diagram). The **cosine** is **equal to** the adjacent side divided by the hypotenuse (adj/hyp).

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