Respuesta :

Answer:

The two solutions for [tex]\sin \theta = 0.731353701[/tex] are [tex]\theta_{1} \approx 47^{\circ}[/tex] and [tex]\theta_{2}\approx 133^{\circ}[/tex], respectively.

Step-by-step explanation:

The sine function is positive in the first and second quadrants, that is, [tex]0^{\circ}< \theta < 180^{\circ}[/tex]. Then, there are two solutions for the given value by means of the following inverse trigonometrical function:

[tex]\theta = \sin^{-1} 0.731353701[/tex]

[tex]\theta_{1} \approx 47^{\circ}[/tex] and [tex]\theta_{2}\approx 133^{\circ}[/tex]

The two solutions for [tex]\sin \theta = 0.731353701[/tex] are [tex]\theta_{1} \approx 47^{\circ}[/tex] and [tex]\theta_{2}\approx 133^{\circ}[/tex], respectively.

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