Show that: `sin(pi/2 - x)` = cos x`

Show that cos((pi)/(2)-x)=sin x

Show that cos ((pi)/(2)-x)=sin x

Show that int_(0)^(pi//2)(sin x cos x)/(cos^(2) x + 3 cos x + 2)dx = log((9)/(8))

Show that int_(0)^(pi//2)(sin x cos x)/(cos^(2) x + 3 cos x + 2) dx = log (9/8)

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x

For all x in 0 le x le (pi)/(2) , show that, cos(sin x) > sin(cos x)

Show that 2x>3sin x-x cos x,0

Show that sin x (1 + cos x), x in |0, pi| is maximum value at x = (pi)/(3) .

Show that sin^-1 x+cos^-1 x=pi/2 .

Show that int_(0)^(pi//4)(dx)/(cos^(4)x - cos^(2)x sin^(2) x + sin^(4)x) = (pi)/(2)