Question

If sin A-1/sin A =3,find a value of sin^2A+1/sin^2A

Answer 1

$\begin{aligned}&\sin A-\dfrac{1}{\sin A}=3\\\\\implies\ \ &\left(\sin A-\dfrac{1}{\sin A}\right)^2=3^2\\\\\implies\ \ &\sin^2A+\dfrac{1}{\sin^2A}-2=9\\\\\implies\ \ &\sin^2A+\dfrac{1}{\sin^2A}=\mathbf{11}\end{aligned}$

Answer 2

Answer:

11

Step-by-step explanation: