juanitasihotang juanitasihotang
  • 17-10-2017
  • Mathematics
contestada

What is the relationship between the sine and cosine of complementary angles in a right triangle? Please give an example to support your answer.

Respuesta :

eco92 eco92
  • 17-10-2017
Consider the right triangle ABC with sides a, b, and c as shown in the figure. 

Let [tex]m(\angle A)=\alpha[/tex], and [tex]m(\angle B)=\beta[/tex].


[tex]\alpha +\beta=90^{\circ}[/tex], so angles A and B are complementary.


According to the definition of sine, and cosine:

[tex]\displaystyle{ \sin \alpha= \frac{opposite\ side}{hypotenuse} =\frac{a}{c} [/tex], and

[tex]\displaystyle{ \cos \beta= \frac{adjacent\ side}{hypotenuse} =\frac{a}{c} [/tex]


Answer: they are equal.




Ver imagen eco92
Answer Link

Otras preguntas

how do you say 'im getting over you' in spanish
Why can't plants catch a cold?
What is an analogy for democracy?
Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests
Venn Diagram: In a school all of the 120 pupils must choose at least one of Archery, Badminton or Cycling. 63 pupils choose archery 62 pupils choose badminton
A basketball rolls of a 0.70 m high desk and strikes the floor 0.25 m away from the base of the desk? How fast was the ball rolling?
What does a journal written by frontier settlers most likely tell you about Manifest Destiny?
What phylum has animals with soft bodies, and most of them have shell-like coverings?
Recently in the United States, there were about 300,000,000 cell phone users. That same year there were about 5.7x10^9 cell phone users worldwide. About how man
What chemical compound is C2HsOH?