` y=(1)/(3(1+sin x)-cos^(2)x)`

Find the area bounded by the curves y=(sin^(-1)(sin x)+cos^(-1)(cos x)) and y=(sin^(-1)(sin x)+cos^(-1)(cos x))^(2) for 0<=x<=2 pi

Integrate the following: int{(5cos^(3)x+2sin^(3)x)/(2sin^(2)x*cos^(2)x)+sqrt(1+sin2x)+(1+2sin x)/(cos^(2)x)+(1-cos2x)/(1+cos2x)}dx

The solution of the differential equation (x^(2)dy)/(dx)cos((1)/(x))-y sin((1)/(x))=-1, where y rarr las x rarr oo is (A) y=sin((1)/(x))+cos((1)/(x))(B)y=(x+1)/(x sin((1)/(x))) (C) y=sin((1)/(x))-cos((1)/(x))(D)y=(x)/(x cos((1)/(x)))

The probability that sin^(-1)(sin x)+cos^(-1)(cos y) is an integer x,y in(1,2,3,4), is

" 1.If sin x+sin y=(1)/(4),cos x+cos y=(1)/(3) then tan((x+y)/(2))=

If (tan x) / (tan y) = (1 + cos ^ (2) x) / (1 + sin ^ (2) x), show that sin (3x + y) = 7sin (xy)

If (tan x) / (tan y) = (1 + cos ^ (2) x) / (1 + sin ^ (2) x), show that sin (3x + y) = 7sin (xy)