[" 1.If "sin x=(sqrt(5))/(3)" and "0

If sin x=(sqrt(5))/(3) " and " 0 lt x lt .(pi)/(2) find the values of (i) " sin " 2x " ""(ii) cos 2x "" ""(iii) tan 2x "

5sin^(2)x+sqrt(3)sin x cos x+6cos^(2)x=5 if (A)tan x=-(1)/(sqrt(3))(C)x=n pi+(pi)/(2),n in I(B)sin x=0(D)x=n pi+(pi)/(6),n in I

If I=intsqrt((5-x)/(2+x))dx , then I equals a) sqrt(x+2)sqrt(5-x)+3sin^(-1)sqrt((x+2)/(3))+C b) sqrt(x+2)sqrt(5-x)+7sin^(-1)sqrt((x+2)/(7))+C c) sqrt(x+2)sqrt(5-x)+5sin^(-1)sqrt((x+2)/(5))+C d)None of these

The solution of (sqrt(5) - 1)/(sin x) + (sqrt(10 + 2 sqrt(5)))/(cos x) = 8, x in (0, (pi)/(2)) is

Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

Show that 4sin27^0=(5+sqrt(5))^(1/2)-(3-sqrt(5))^(1/2)

Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

Solution for the equations sqrt(3)x+sqrt(5)y=0" and "sqrt(7)x+sqrt(11)y=0 is…….

If quad x_(1)=cos^(-1)((3)/(5))+cos^(-1)((2sqrt(2))/(3)) and x_(2)=sin^(-1)((3)/(5))+sin^(-1)((2sqrt(2))/(5))