If x=asec theta+b tan theta and y=a tan ...

If `x=asec theta+b tan theta` and `y=a tan theta+b sec theta` then prove that `x^2-y^2=a^2-b^2`

TRIGONOMETRIC IDENTITIES
RS AGGARWAL|Exercise Exercise 13C|40 Videos
TRIGONOMETRIC IDENTITIES
RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|53 Videos
TRIGONOMETRIC IDENTITIES
RS AGGARWAL|Exercise Exercise 13A|38 Videos
TRIANGLES
RS AGGARWAL|Exercise Test Yourself|20 Videos
TRIGONOMETRIC RATIOS
RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

If x=a sec theta+b tan theta and y=a tan theta+b sec theta then prove that x^(2)-y^(2)=a^(2)-b^(2)

If x=a sec theta+b tan theta and y=a tan theta+b sec theta, prove that: x^(2)-y^(2)=a^(2)-b^(2)

x =a tan theta ,y =b sec theta

If x=p sec theta+q tan theta&y=p tan theta+q sec theta then prove that x^(2)-y^(2)=p^(2)-q^(2)

If x=a cos theta-b sin theta and y=a sin theta+b cos theta then prove that :x^(2)+y^(2)=a^(2)+b^(2)

If x=sec theta-tan theta and y=cos ec theta+cot theta then prove that xy+1=y-x

If a sec theta+b tan theta=c then (a tan theta+b sec theta)^(2)=

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.

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