The'derivative of x w.r.t. `theta` is: x = sin`theta`cos`theta`

The derivative of cos^(3)x w.r.t. sin^(3)x is

The derivative of sin (x^(3)) w.r.t. cos(x^(3)) is

Prove that the determinant [x sin theta cos theta-sin theta-x1cos theta1x] is independent of theta.

If tan theta=(r)/(s) , find the value of (r sin theta-s cos theta)/(r sin theta+s cos theta)

Eliminate theta from the following equation: x cos theta-y sin theta=a,x sin theta+y cos theta=b

For different values of theta, the locus of the point of intersection of the straight lines x sin theta-y(cos theta-1)=a sin theta and x sin theta-y(cos theta+1)+a sin theta=0 represents

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) is :

The equation of the locus of the point of intersection of the straight lines x sin theta+(1-cos theta)y=a sin theta and x sin theta-(1-cos theta)y+a sin theta=0 is

If tan theta = (x)/(y) , " then " (x sin theta + y cos theta)/( x sin theta - y cos theta) is equal to

if theta is a parameter then x=a ( sin theta + cos theta), y=b( sin theta - cos theta ) respresents