In A level Mathematics, we learn that the reciprocal function to \sin(\theta) is called the cosecant or \cosec(\theta) where \cosec(\theta)=\frac{1}{\sin(\theta)} .Comparing the graphs of sin(θ) and cos(θ) The graphs of \sin \theta and \cos \theta are very similar. In ...
Graph: {eq}\:\: r = -\csc \theta\, {/eq} Polar Curve A polar curve is a curve described in polar coordinates {eq}(r, \theta) {/eq}. The radial coordinate is the distance from the origin of the coordinate system and and the angle {eq}\theta {/eq} is the angle of the poin...
In the polar coordinate system, the vertical line can be represented as {eq}x=r\cos\theta {/eq} or {eq}r=x\sec\theta {/eq}, and a horizontal line can be represented as {eq}y=r\sin\theta {/eq} or {eq}r=y \rm{ cosec ...
sine function identities some of the common sine identities are: sine (θ) = cos(π/2 − θ) = 1/cosec(θ) arcsin (sin θ) = θ, for −π/2 ≤ θ ≤ π/2 cos 2 (θ) + sin 2 (θ) = 1 sin (2x) = 2sin...
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...
Calculate the area of the region bounded by the graph of y = cosec^4x and ''y = 4'' on the interval ( \frac{ \pi}{ 4}, \frac{3 \pi}{ 4} ) A) Find the area of the region bounded by y = e^x and y = 12 - e^...