Respuesta :

Answer:

[tex]cos(B)=\frac{3}{2}[/tex]

Step-by-step explanation:

∠A and ∠B are complementary because they are the two non-right angles of a right triangle. This means that sinA=cosB and sinB=cosA.

Therefore,

[tex]\begin{gathered} If\text{ sin\lparen A\rparen=}\frac{\sqrt{3}}{2} \\ Then, \\ cos(B)=\frac{\sqrt{3}}{2} \end{gathered}[/tex]

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