The general solution satisfying both the equations $\sin x=-\frac{3}{5}$ and $\cos x=-\frac{4}{5}$ is

• Correct answer
  A

  $\mathrm{x}=(2 \mathrm{n}+1) \pi+\operatorname{Tan}^{-1}\left(\frac{3}{4}\right), \mathrm{n} \in \mathrm{Z}$
• B

  $\mathrm{x}=2 \mathrm{n} \pi+\operatorname{Tan}^{-1}\left(\frac{3}{4}\right), \mathrm{n} \in \mathrm{Z}$
• C

  $\mathrm{x}=\mathrm{n} \pi+\operatorname{Tan}^{-1}\left(\frac{3}{4}\right), \mathrm{n} \in \mathrm{Z}$
• D

  $\mathrm{x}=\mathrm{n} \pi \pm \operatorname{Tan}^{-1}\left(\frac{3}{4}\right), \mathrm{n} \in \mathrm{Z}$

Hence, the correct answer is option: 'A'.