" 06.If "x-(1)/(x)=2sin theta" then "x^(2)-(1)/(x^(2))=...

If x-(1)/(x)=2i sin theta, show that x^(4)-(1)/(x^(4))=2i sin4 theta

If x-1/x = 2i sin theta, "show that", x^(4)-1/x^(4)=2i sin 4 theta.

tan theta+sec theta=x show that 2tan theta=x-(1)/(x),2sec theta=x+(1)/(x) hence prove that sin theta=(x^(2)-1)/(x^(2)+1)

(x) / (a) cos theta + (y) / (b) sin theta = 1, (x) / (a) sin theta- (y) / (b) cos theta = 1 then (x ^ (2)) / (a ^ (2)) + (y ^ (2)) / (b ^ (2)) =

If (x)/(a)cos theta+(y)/(b)sin theta=1 and (x)/(a)sin theta-(y)/(b)cos theta=-1, prove that (x^(2))/(a^(2))+(y^(2))/(b^(2))=2

If (x)/(a)cos theta+(y)/(b)sin theta=1 and (x)/(a)sin theta-(y)/(b)cos theta=1 Prove that :(x^(2))/(a^(2))+(y^(2))/(b^(2))=2

If tan theta+sec theta=x" show that 2 tan "theta=x -1/x, 2 sec theta=x+1/x. Hence show that sin theta=(x^(2)-1)/(x^(2)+1)

If (1+cos theta-i sin theta)(1+cos2 theta+i sin2 theta)=x+iy then x^(2)+y^(2)=

If tan^(-1)x = theta , find the value of sin^(-1).(2x)/(1+x^(2))

If tan^(-1)x = theta , find the value of sin^(-1).(2x)/(1+x^(2))