If `a^2+2a+cosec^2(pi/2(a+x))=0`, then, find the values of a and x.

If tan(x/2)=cosec x-sin x , then find the value of tan^(2) (x/2) .

Let x in (0, pi/2) and log_(24 sin x) (24 cos x)=3/2 , then find the value of cosec^(2)x .

Let x in (0, pi/2) and log_(24 sin x) (24 cos x)=3/2 , then find the value of cosec^(2)x .

Let x in (0, pi/2) and log_(24 sin x) (24 cos x)=3/2 , then find the value of cosec^(2)x .

Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}| then find the value of int_(0)^(pi//2) f(x) dx.

Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}| then find the value of f_(0)^(pi//2) f(x) dx.

If cosec^2 x-2=0 , then the value of x (0 यदि cosec^2 x-2=0 ,है, तो x (0

If cos x=(-sqrt3)/2 and pi

If 0 lt x lt pi/2 and sec x = cosec y , then the value of sin (x + y) is

If cos 3x= 0 and x is acute find the value of : cot^(2) x- cosec ^(2)x