About Cos Inverse Formula
The inverse trigonometric function inverse cosine is very useful. It is the inverse function of the trigonometric function cosine, and is expressed as cos-1(x) in mathematics (x). It's worth noting that inverse cosine isn't the same as cos x's reciprocal. sin-1x, cos-1x, tan-1x, csc-1x, sec-1x, cot-1x are the six inverse trigonometric functions.
By using the value of trigonometric ratio cos x, inverse cosine is used to get the angle measure.
Define Inverse Cosine:
The inverse function of the cosine function is inverse cosine. It is a significant inverse trigonometric function. arccos x is another way to write cos inverse x. If y = cos x, and x = cos-1, then (y)
- cos 0 = 1 ⇒ 0 = cos-1(1)
- cos π /3 = 1/2 ⇒ π /3 = cos -1(1/2)
- cos π /2 = 0 ⇒ π /2 = cos-1(0)
- cos π = -1 ⇒ = cos -1(-1)
The ratio of an angle's adjacent side to the hypotenuse in a right-angled triangle is cos = (adjacent side) / hypotenuse (hypotenuse). = cos-1[(adjacent side) / (hypotenuse)], according to the concept of inverse cosine.
Hence, Inverse cosine is used to find out unknown angles in a right-angled triangle.
Properties of Inverse Cosine
The inverse cosine function's features and formulas are listed below. These are quite useful in solving trigonometry issues involving cos inverse x.
cos(cos-1x) = x only when x ∈ [-1, 1] (When x ∉ [-1, 1], cos(cos-1x) is not defined)
cos-1(cos x) = x, only when x ∈ [0, π] (When x ∉ [0, π], apply the trigonometric identities to find the equivalent angle of x that lies in [0, π])
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