which trigonometric functions are undefined when y 0

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which trigonometric functions are undefined when y 0 Sec pi 2 Explanation Trigonometric functions are equal to 0 1 1 or undefined when the angle lies on an axis meaning that the angle is equal to 0 90 180 or 270 degrees 0 pi 2 pi or 3 pi 2 in radians Trigonometric functions are undefined when they represent fractions with denominators equal to zero

1 Answer Alan P Aug 18 2015 sin 0o 0XXXXcsc 0o undefined cos 0o 1XXXXsec 0o 1 tan 0o 0XXXXcot 0o undefined Explanation Using a triangle in standard position with the angle involved at the origin the 6 basic trigonometric functions are defined as sin opposite hypotenuse XXXXcsc hypotenuse opposite Question No one rated this answer yet why not be the first profile tripathiakshita48 report flag outlined Cotangent is defined at x 0 but has a value of undefined or infinite cot 0 1 0 When x 0 the functions sine and cosecant are undefined as they involve division by zero

which trigonometric functions are undefined when y 0

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which trigonometric functions are undefined when y 0
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When Y 0 the trigonometric functions are undefined because the sine cosine tangent and cosecant functions are based on the ratio of the length of the side opposite an angle to the length of the hypotenuse of a right triangle while the secant and cotangent functions are based on the ratio of the adjacent side to the hypotenuse In a Let P x y be a point on the unit circle and let be the corresponding angle Since the angle and 2 correspond to the same point P the values of the trigonometric functions at and at 2 are the same Consequently the trigonometric functions are periodic functions

arcsin x where 1 x 1 arccos x where 1 x 1 arctan x arccsc x where x 1 or 1 x arcsec x where x 1 or 1 x arctan x The inverse trigonometric functions are also written as sin 1 x cos 1 x tan 1 x csc 1 x sec 1 x and cot 1 x When an angle lies along an axis the values of the trigonometric functions are either 0 1 1 or undefined When the value of a trigonometric function is undefined it means that the ratio for that given function involved division by zero Below is a table with the values of the functions for quadrantal angles

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Which of the six trigonometric functions are undefined when Y 0 Select all that apply O sine cosine tangent cosecant secant cotangent X Video Answer Solved by verified expert Created on Dec 29 2021 9 01 p m Video Answers to Similar Questions Best Matched Videos Solved By Our Top Educators 01 12 BEST MATCH First the the secant cosecant and cotangent functions are the reciprocals of the cosine sine and tangent functions respectively Second there is no value for which the cosine and sine functions are undefined This is because r is the distant from the origin to the point x y 0 0 on the terminal ray

Answer No one rated this answer yet why not be the first ritaroydeb report flag outlined Answer The answer is Cot 0 and Cosec0 Step by step explanation chevron right Advertisement Still have questions Find To define the trigonometric functions of any angle including angles less than 0 or greater than 360 we need a more general definition of an angle We say that an angle is formed by rotating a ray OA about the endpoint O called the vertex so that the ray is in a new position denoted by the ray OB

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which trigonometric functions are undefined when y 0 - Therefore the correct answer to the question is b Tangent and cotangent Sine sin and cosine cos functions are defined even when x 0 because sin 0 0 and cos 0 1 according to the unit circle definition of these functions