If `cos^2 x +7sinx=5`,find values of sinx.

If sinx+sin^2x=1 , then find the value of cos^(12)x +3cos^(10)x + 3 cos^8x + cos^6x-1

Select and write the correct answer from the given alternatives in each of the following:if 90^@ < x < 180^@ and sinx=3/5 ,then the value of sin(x/2)=

If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between 0<=x<=pi/2 is

If tan(x/2)=cosecx-sinx , then the value of tan^2(x/2) is

If y=(cos x - sin x)/(cos x + sinx) , then ((d^(2)y)/(dx^(2)))/((dy)/(dx))

If f(x)=|(sin x+sin 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1)|, then the value of int_0^(pi/2) f(x) dx is

If cos(x+y) = y sinx , then (dy)/(dx)

If sinx+ sin^2x =1 , then cos^8x+ 2cos^6x +cos^4x =

If 2cos^(2)x+3sinx-3=0,0lexle180^(@) , then x =