This is a function by our definition. Just a reference to finish: you can find treatments like this in books like Spivak's Calculus or Apostol's Calculus Vol. I hope the way I exposed this helps you a little. Good luck! The word "inverse" is context-sensitive. There are additive, multiplicative and compositional inverses. The secant function is a multiplicative inverse to the cosine function, which is defined off the zeroes of the cosine function. It reverses the operation.
Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. What's the difference between arccos x and sec x Ask Question. Asked 8 years, 6 months ago. Active 4 years, 4 months ago.
Viewed 66k times. View Now Preview site All Education. This will cause trouble later. So the sec. Education You get these gems as you gain rep from other members for making good contributions and giving helpful advice. Report 16 years ago. Secant , co secant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan.
Remember, you cannot divide by zero and so these definitions are only valid when the denominators are not zero. Education Answer 1 of 8 : If this is the question, then the misunderst and ing is quite fundamental and you deserve a perfectly straightforward answer. I am going to say that you underst and what sine is. Sine of an angle is the side of the triangle that does not touch the angle divided by the hypotenuse.
Note, sec x is not the same as cos-1x sometimes written as arccos x. Education Secant is a see also of cosine. Education Given a triangle rectangle, we define the co secant , the secant and the cotangent of an angle x as the inverse ratios of the sine, the cosine and the tangent, respectively. It is a one-to-many relation. Education Notation.
Several notations for the inverse trigonometric functions exist. The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin x , arccos x , arctan x , etc. This convention is used throughout this article. Education Learn how co secant , secant , and cotangent are the reciprocals of the basic trig what is the exact difference between co secant , secant , cotangent and cos-1, Math Help Forum arcsin and csc.
Oct 26, arcsin is the inverse function of sine. But my math teacher says they're different. Oct 30, arcsin is the inverse function of sine. Education What's the difference between arcsin and co secant? Posted: 2 days ago Answer 1 of 8 : If this is the question, then the misunderst and ing is quite fundamental and you deserve a perfectly straightforward answer.
Sine of an angle is the side of the triangle that does not touch …. Nov 09, arcsin is the inverse function of sine. Oct 20, arcsin is the inverse function of sine. Education Inverse Cosine is one of the Trigonometric functions. Each trigonometric function has an inverse function of it, whether it is sine, cosine, tangent, secant , co secant and cotangent.
In a formula, it is abbreviated to just ' sec '. They can be easily replaced with derivations of the more common three: sin, cos and tan. The arccos function is the inverse of the cosine function. It returns the angle whose cosine is a given number. To rewrite the sine function in terms of tangent, follow these steps: Start with the ratio identity involving sine, cosine, and tangent, and multiply each side by cosine to get the sine alone on the left.
Replace cosine with its reciprocal function. In any right triangle, the tangent of an angle is the length of the opposite side O divided by the length of the adjacent side A.
In a formula, it is written simply as 'tan'. Let's first convert to degrees from radians. The secant sec? It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle. The inverse of the sin function is the arcsin function.
But sine itself, would not be invertible because it's not injective, so it's not bijective invertible. Secant is a term in mathematics derived from the Latin secare "to cut". And the 3 new functions are secant theta , cosecant theta and cotangent theta. Secant theta is defined as 1 over x. Cosecant theta is 1 over y and cotangent is x over y.
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