Which one is greater: `cos(log_e theta)or log_e(costheta)` if `-pi/2ltthetaltpi/2`

Which one is greater: cos(log_(e)theta) or log_(e)(cos theta) if -(pi)/(2)

The larger of cos(log theta) and log(cos theta) if (pi)/(2)

The larger of cos[log(theta)] and log(costheta) if e^(-pi/2) < theta < pi/ 2 is

The larger of cos[log(theta)] and log(costheta) if e^(-pi/2) < theta < pi/ 2 is

The larger of cos(lntheta) and ln(costheta) if e^(-pi/2) < theta < pi/ 2 is

The larger of cos(ln theta) and ln(cos theta) if e^(-(pi)/(2))

If e^(-pi//2)ltthetaltpi/2 , then :

If x= e^2log_(e)(sin theta), y= e^2log_(e)(cos theta) , then dy/dx at theta=pi/4 ........... A) 1 B) -1 C) 0 D) 2

If one of the roots of 25cos^(2)theta+5costheta-12=0 is alpha then the value of sin2theta is ……….. ((pi)/(2)ltthetaltpi) .