6.If `btantheta=a` the value of `(asintheta-bcostheta)/(asintheta+bcostheta)`

If tantheta=a/b , show that (asintheta-bcostheta)/(asintheta+bcostheta)=(a^2-b^2)/(a^2+b^2)

If tantheta=a/b , then (asintheta+bcostheta)/(asintheta-bcostheta) is equal to (a) (a^2+b^2)/(a^2-b^2) (b) (a^2-b^2)/(a^2+b^2) (c) (a+b)/(a-b) (d) (a-b)/(a+b)

If cottheta=(b)/(a) ,show that (asintheta-bcostheta)/(asintheta+bcostheta)=(a^(2)-b^(2))/(a^(2)+b^(2)) .

If acosheta+bsintheta=4 & asintheta - bcostheta= 3 then a^2+b^2

i) If acostheta+bsintheta=m and asintheta-bcostheta=n , then prove that: a^(2)+b^(2)=m^(2)+n^(2)

If acostheta+bsintheta=m and asintheta-bcostheta=n , then show that a^(2)+b^(2)=m^(2)+n^(2) .

(i) Find the equation a circle passing through the point (2+3costheta,1+3sintheta) where 'theta' is a parameter. (ii) Prove that the equations x=acostheta+bsintheta and y=asintheta-bcostheta represents a circle.

Show that the normal at any point theta to the curve x=acostheta+athetasintheta,\ y=asintheta-a\ thetacostheta is at a constant distance from the origin.

The radius of the circle whose equation in parametric form is P(theta)=(acostheta+bsintheta,asintheta-bcostheta), is : (a+b)/2 (b) sqrt(a b) sqrt(a^2+b^2) (d) (a b)/(a+b)

If (a costheta_1,asintheta_1),(acostheta_2,a sintheta_2) , and (acostheta_3a sintheta_3) represent the vertces of an equilateral triangle inscribed in a circle. Then.