Question

If sinA=1/3x and tanA=x/3 then find the value of x^2 - 1/x^2

Answer 1

Step-by-step explanation:

I hope you would understand this afterwards please make it brainliest

Answer 2

$2Sin^2 \frac {A}{2}$ is the value

Step-by-step explanation:

Given, $Sin A = \frac {1}{3x}\ and\ tan A = \frac {x}{3}$

As $tan A = \frac {x}{3}$

$\frac {Sin A}{Cos A} = \frac {x}{3}$

$\frac {1}{3x Cos A} = \frac {x}{3}$

$\frac {1}{xCos A} = x$

$Cos A = \frac {1}{x^2}$ """(1)

So, value of $x^2 - \frac {1}{x^2}$ is-

= $1 - \frac {1}{x^2}$

= $1 - Cos A$ [from (1)]

= $1 - 1 + 2Sin^2 \frac {A}{2}$

= $2Sin^2 \frac {A}{2}$