The value of A that satisfies the equation a sin A + b cos A = c is equal to?
1
\(\tan^{-1} \left(\dfrac{a}{b}\right) \pm \cos^{-1} \left(\dfrac{c}{\sqrt{a^2+b^2}}\right)\)
2
\(\tan^{-1}\left(\dfrac{c}{b}\right)\pm \sin^{-1} \left(\dfrac{a}{\sqrt{a^2+b^2}}\right)\)
3
\(\tan^{-1}\left(\dfrac{a}{b}\right)\pm \sin^{-1} \left(\dfrac{a}{\sqrt{a^2 +b^2}}\right)\)
4
None