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Which relationship in the triangle must be true?
A
5
sin(B) = sin(A)
O sin(B) = cos(90 - B)
O cos(B) = sin(180 - B)
cos(B) = cos(A)
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B
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Respuesta :

Using relations in a right triangle and complementary angles, it is found that the relationship that is true in the triangle is:

sin(B) = cos(90 - B)

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

A right triangle has an angle of 90º, hence the other two angles are complementary, which means that the sine of one angle is equals to the cosine of the other angle.

Researching this problem on the internet and looking at the triangle, it is found that the complementary angles are A and B, hence the correct statement is:

sin(B) = cos(A) = cos(90 - B)

More can be learned about complementary angles at https://brainly.com/question/11161460

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