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If b lt 1. sin t lt0.cos t lt 0 and log_(b) (sin t)=x, then log_(b) (cost) is equal to

If x = a sin t and y = a (cos t + log tan (t/2)) , find (d^2y)/(dx^2)

Find (dy)/( dx) , if x=a [ cos t + log ( tan ""t//2)]& y= a sin t

x=a sin t and y= a (cos t + log "tan"(t)/(2)) then find (d^(2)y)/(dx^(2)) .

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Differentiate the following functions w.r.t.x : sin (log (log 3 x)

If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

For an ideal gas kept in a container attached manometer as show. Find volume of container. For the given gas, lo P us log (1//V) graph is given :

The slope of the tangent to the curve : x=a sin t, y = a(cos t+log "tan" (t)/(2)) at the point 't' is :