Respuesta :

The angles that make the trigonometric statements true using the relationship of sine and cosine for the value of the angle is 45°.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The angles that make the trigonometric statements true.

Let the angle be x. Then we have

sin(x) = cos(B)

sin(B) = cos(x)

If they are equal then we can apply the sine and cosine relationship.

[tex]\rm sin (90 - \theta) = cos \ \theta\\\\\rm cos (90 - \theta) = sin \ \theta[/tex]

Then sin x can be written as cos (90 – B). Then we have

cos(90 – B) = cos(B)

       90 – B = B

                B = 45

Similarly, cos x can be written as sin (90 – B). Then we have

sin(90 – B) = sin(B)

      90 – B = B

               B = 45

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

Both fill in the blanks are A

Step-by-step explanation:

Correct on edge

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