sec is inverse of sin or cos

sec is inverse of sin or cos Cosecant secant and tangent are the reciprocals of sine cosine and tangent sin 1 cos 1 tan 1 are the inverse NOT the reciprocal That means sin 1 or inverse sine is the angle for which sin is a particular value

What are the inverse trigonometric functions arcsin x or sin 1 x is the inverse of sin x arccos x or cos 1 x is the inverse of cos x arctan x or tan 1 x is the inverse of tan x Range of the inverse trig functions It will help you to memorize formulas of six trigonometric ratios which are sin cos tan sec cosec and cot Now look at all the capital letters of the sentence which are O H A H O and A Now suppose that O stands for opposite side H

sec is inverse of sin or cos

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sec is inverse of sin or cos
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Secant can be derived as the reciprocal of cosine The inverse secant function arcsec For every trigonometry function such as sec there is an inverse function that works in reverse These inverse functions have the same name but with arc in front So the inverse of sec is arcsec etc Sec Cosec and Cot Secant cosecant and cotangent almost always written as sec cosec and cot are trigonometric functions like sin cos and tan sec x 1 cos x cosec x 1 sin x cot x 1 cos x tan x sin x Note sec x is not the same as cos 1 x sometimes written as arccos x

Inverse sine sin 1 does the opposite of the sine Inverse cosine cos 1 does the opposite of the cosine Inverse tangent tan 1 does the opposite of the tangent In general if you know the trig ratio but not the angle you can use the corresponding inverse trig function to find the angle The key to simplifying expressions involving inverse trigonometric functions is to remember that the inverse sine cosine or tangent of a number can be treated as an angle If we assign a name such as theta or phi to the inverse trig value it can often clarify the computations

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Sec Inverse x is the inverse trigonometric function of the secant function Mathematically it is denoted by sec 1 x It can also be written as arcsec x In a right angled triangle the secant function is given by the ratio of the hypotenuse and the base that is sec Hypotenuse Base x say We need a procedure that leads us from a ratio of sides to an angle This is where the notion of an inverse to a trigonometric function comes into play In this section we will explore the inverse trigonometric functions Understanding and Using the Inverse Sine Cosine and Tangent Functions

Understanding and Using the Inverse Sine Cosine and Tangent Functions RELATIONS FOR INVERSE SINE COSINE AND TANGENT FUNCTIONS Example PageIndex 1 Writing a Relation for an Inverse Function Exercise PageIndex 1 Finding the Exact Value of Expressions Involving the Inverse Sine Cosine and Sec alpha 1 cos alpha This comes straight from the definition Secans is defined as inverse of cosine

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sec is inverse of sin or cos - Inverse sine sin 1 does the opposite of the sine Inverse cosine cos 1 does the opposite of the cosine Inverse tangent tan 1 does the opposite of the tangent In general if you know the trig ratio but not the angle you can use the corresponding inverse trig function to find the angle