" (7) "4sin^(2)x+log[5sin x+6)

x^(2)log sin x

log(sin x^2)

The value of int _(sqrt ( log 2 )) ^(sqrt( log 3 )) (x sin x ^(2))/( sin x ^(2) + sin (log 6 -x ^(2)))dx is

Prove that : sin^(2) 6x - sin^(2)4x = sin 2x *sin10x

sin ^ (2) 6x-sin ^ (2) 4x = sin2x sin10x

If int_(0)^(pi//2) ( cos x dx)/( 6-5 sin x + sin^(2) x)= log K then K is equal to

Statement -1:If exp {("sin"^(2)x + "sin"^(4)x + "sin"^(6)x +…)"log"_(e)2] " satisfie the equation" x^(2)-9x +8=0, "then " ("cos"x)/("cos" x + "sin"x) = (sqrt(3)-1)/(2), 0 lt x lt (pi)/(2) . Statement-2: The sum "sin"^(2) x + "sin"^(4)x + "sin"^(6) x + .... oo is equal to "tan"^(2)x

The range of the function sin^(2)x-5sin x-6 is