Math, asked by saranegi1380, 8 hours ago

If x = asecθ, y = atanθ, then the value of x 2 – y 2 is?

Answers

Answered by dharaniraja2007
1

Answer:

I don't know answer put brain

Answered by p3439
1

Answer:

Was this answer helpful?

MARK AS BRAINLIEST

Step-by-step explanation:

x−asecθ+btanθ  

y=atanθ+bsecθ  

Now,

x  

2

−y  

2

=(asecθ+btanθ)  

2

−(atanθ+bsecθ)  

2

 

=(a  

2

sec  

2

θ+b  

2

tan  

2

θ+2absecθtanθ)−(a  

2

tan  

2

θ+b  

2

sec  

2

θ+2absecθtanθ)

=a  

2

sec  

2

θ+b  

2

tan  

2

θ+2absecθtanθ−a  

2

tan  

2

θ−b  

2

sec  

2

θ−2absecθtanθ

=a  

2

(sec  

2

θ−tan  

2

θ)−b  

2

(sec  

2

θ−tan  

2

θ)

=a  

2

∗1−b  

2

∗1

=a  

2

−b  

2

.

Hence proved.

Similar questions