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Musya8 [376]
3 years ago
15

The figure below shows a rectangle with a diagonal drawn.

Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

<u>Option B. sin(s) = cos(u)</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)  ⇒(<u>wrong</u>) because t and u are not complementary angles

B. sin(s) = cos(u) ⇒ (<u>True</u>) ⇒ 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) ⇒(<u>wrong</u>) because t and u are not complementary angles

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

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

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