If `A((sin alpha)/3 - 1,(cos alpha)/2 - 1)` and B(1,1) `alpha in [ -pi,pi]` are two points on the same side of the line `3x - 2y +1 = 0 ` then `alpha ` belongs to the interval

If 1 lies between the roots of the equation 3x^(2)-(3sin alpha)x-2cos alpha=0 then alpha lies in the interval:

If sinalpha, sin^2alpha, 1 , sin^4alpha and sin^6alpha are in A.P., where -pi < alpha < pi, then alpha lies in the interval

If (2sin alpha) / ({1 + cos alpha + sin alpha}) = y, then ({1-cos alpha + sin alpha}) / (1 + sin alpha) =

If (cos3 alpha)/(cos alpha)=(1)/(3),0

If (cos3 alpha)/(cos alpha)=(1)/(3),0

There are two sets of parallel lines, their equations being x cos alpha+y sin alpha=p and x sin alpha- y cos alpha=p , p=1,2,3,….n and alpha in (0,pi//2) . If the number of rectangles formed by these two sets of lines is 225 , then the value of n is equals to

If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=

If (2sin alpha)/({1+cos alpha + sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=