Question

The figure below shows a rectangle with a diagonal drawn.

Answer 1

Answer:

Option B. sin(s) = cos(u)

Step-by-step explanation:

The rest of the question is the attached figure.

Complementary angles - two angles that add to 90 degrees.

The sine of one of them will be equal to the cosine of other angle.

For the attached figure:

The set all complementary angles are:

1. angle s and angle t
2. angle u and angle v
3. angle s and angle u
4. angle t and angle v

We will check the options:

A. sin(t) = sin(u)  ⇒(wrong) because t and u are not complementary angles

B. sin(s) = cos(u) ⇒ (True) ⇒ s and u are complementary angles and sine of one of them will be equal to the cosine of other angle.

C. cos(s) = sin(v) ⇒(wrong) because t and u are not complementary angles

D. cos(t) = cos(v) ⇒(wrong) because t and v are complementary angles but sine of one of them should be equal to the cosine of other angle.

The answer is option B. sin(s) = cos(u)