Step by step video & image solution for The domain and range of f(x) = sin^1x + cos^-1 x +tan^-1x + cot^-1x + sec^-1x + cosec^-1x respectively are by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.

A: The basic trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). These functions relate the ratios of the sides of a right-angled triangle to the angles in the triangle.

So. arsinh x = ln ( x + x 2 + 1). arcosh x = ln ( x + x 2 − 1), artanh x = 1 2 ln 1 + x 1 − x. Thank you for your help and elaboration. x − x 2 + 1 is discarded because it is negative, for any x, while e y is positive. @Raffaele Since the "Ar" comes from "area" and not from "arcus", that naming, while not uncommon, is problematic. Aww! Answer link. 1/sqrt (1-x^2) Let y=sin^-1x, so siny=x and -pi/2 In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine is
break the expression into $\sin^{(m-1)} x \; \{ \cos ^n x \sin x\}$. Let 2nd function which is in curly bracket and 1st function which is out side. Now integrate using integration by part.
Trigonometry is a measurement of a triangle, and it is included with inverse functions. sin -1 x, cos -1 x, tan -1 x etc., represent angles or real numbers, and their sine is x, cosine is x, and tangent is x, given that the answers are numerically the smallest available. They are also written as arc sin x, arc cos x etc.
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  • sin 1x cos 1x formula