The inverse function to \sin(\theta) is \sin^{-1}(\theta) . The notation used for inverse functions should not be confused with the reciprocal function. In A level Mathematics, we learn that the reciprocal function to \sin(\theta) is called the cosecant or \cosec(\theta) where \cos...
The values of the cosecant function repeat after every 2π radians, so the period of cosec x is equal to 2π radians (360 degrees). Why is Cosecant the Reciprocal of Sine? We know that sin x is the ratio of perpendicular and Hypotenuse of a right-angled triangle and Cosecant is the...
Inverse sine is one of the inverse trigonometric functions of the sine function and it is written as sin-1x and is read as "sin inverse x". Then by the definition of inverse sine, θ = sin-1[ (opposite side) / (hypotenuse) ]
CENGAGE-GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS-Exercise Draw the graph of y=sec^(-1)x+cosec^(-1)x 01:44 Draw the graph of y=tan^(-1)x+cot^(-1)x 01:42 Find the number of real solution to the equation 3cos^(-1)x-pix-pi/2=0 01:09 Evalute [lim(xto0) (sin^(-1)x)/...
y=cosec(cosec^(-1)x) Clearly, the domain of the function is (-oo,-1]cup[1,oo). Now cosec^(-1)x in[-pi/2,0)cup(0,pi/2] :." cosec"("cosec"^(-1)x)in(-oo,-1]cup[1,oo) Also f(x) ="cosec"("cosec"^(-1)x)=x, " for "x in (-oo, -1]cup[1,oo) y=sec(...
Answer to: Calculate the area as indicated: \\ The region R bounded on the left by the graph of x = y^2 and on the right by the vertical line x = 4...
Find the area of the region bounded by the graph of f(x)=2sin3(x) and the x-axis on the interval [0,3π/2]. Area under curve 1) Let us consider we need to find the area between curve f(x) and x-axis from a to ...
y = sin kx period of sin kx = 2π/|k| 2π/|k| = 6 |k| = π/3 thus, y = sin(πx/3) similarly, we can calculate the sine function with period 3. learn more about the period of a function here. inverse sine function (arcsine) the sine inverse function is used to measure...
The cotangent is one of the trigonometric ratios and is defined as cot x = (adjacent side)/(opposite side) for any angle x in a right-angled triangle.
What is Inverse Sine? Inverse of sine function is given by sin-1x = arcsin x, where x lies in [-1, 1]. Inverse of sine function is read as 'arc sine x' or 'sine inverse x'. What is Sine Function Formula? A sine function formula is given by sin x = Opposite Side/Hypotenuse ...