" सिद्ध कीजिए कि "[0,(pi)/(2)]" में "y=(4sin theta)/((2+cos theta))-theta,theta" का एक वर्धमान फलन है। "

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

int_ (0) ^ ((pi) / (2)) (sin2 theta) / (sin ^ (4) theta + cos (4) theta) d theta

Prove that y = (4 sin theta)/((2 + cos theta)) - theta is an increasing on theta in [0, (pi)/2] .

Prove that y=(4 sin theta)/((2+cos theta))-theta is an increasing function of theta in [0, pi/2] .

Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing function in [0,(pi)/(2)]

int _(0)^(pi//4) ( 4 sin 2 theta d theta )/(sin^(4) theta +cos^(4) theta )=

int _(0)^(pi//4) ( 4 sin 2 theta d theta )/(sin^(4) theta +cos^(4) theta )=

Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing function of theta in [0, (pi)/(2)] .

((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ , is equal to: ((sin theta-2 sin^3 theta)/(2 cos^3 theta- cos theta))^2-1, theta ne 45^@ का मान किसके बराबर है ?