Considering that trigonometric functions often present the same value for two different arcs, smaller than 360°, that have the same positive sine v...

Question

Considering that trigonometric functions often present the same value for two different arcs, smaller than 360°, that have the same positive sine value, choose the CORRECT alternative that represents the sum of these angles:
a) It is equal to 180°.
b) It is equal to 45°.
c) It is equal to 90°.
d) It is equal to 270°.

a) It is equal to 180°.
b) It is equal to 45°.
c) It is equal to 90°.
d) It is equal to 270°.

Ed · Answer

A alternativa correta é a letra A) É igual a 180°.

Isso ocorre porque as funções trigonométricas seno e cosseno são periódicas, ou seja, seus valores se repetem a cada 360°. Portanto, se dois arcos menores que 360° têm o mesmo valor positivo de seno, eles estão localizados em quadrantes opostos, e a soma desses arcos é igual a 180°.

Considering that trigonometric functions often present the same value for two different arcs, smaller than 360°, that have the same positive sine v...

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