[" Q7.Find the dervative of "x=sqrt((pi)/(2))" (3ero) "],[qquad cos(sin x^(2))" at "]

Find the dervative (1)3x^(2)+4(2)x sqrt(x)

Find the derivative of cos( sin x^(2)) at x = sqrt(pi/2)

Find the derivative of cos( sin x^(2)) at x = sqrt(pi/2)

If sin x=(sqrt(5))/(3) "and " .(pi)/(3) lt x lt pi find the values of (i) " sin " (x)/(2) " " (ii) " cos " (x)/(2) " " (iii) " tan " (x)/(2)

Prove that (i) "sin " (7pi)/(12) " cos " (pi)/(2) - "cos " *(7pi)/(12) " sin " (pi)/(4) = (sqrt(3))/(2) (ii) " sin " (pi)/(4) " cos " (pi)/(2) + "cos"(pi)/(4) " sin " (pi)/(12) = (sqrt(3))/(2) (iii) " cos " (2pi)/(3) " cos " (pi)/(4) - " sin " (2pi)/(3) " sin " (pi)/(4) =(-(sqrt(3) +1))/(2sqrt(2))

Prove that cos ((3pi)/(4)+x)-cos ((3pi)/(4)-x)=-sqrt2 sin x

Find sin 2x if cos x=sqrt3/2 where 0 le x le pi/2

Find the value of x in the interval [-(pi)/(2),(3 pi)/(2)] for which sqrt(2)sin2x+1<=2sin x+sqrt(2)cos x

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .