Respuesta :

altavistard
In this case you could obtain the values of the trig functions in many ways, including using a calculator, using a table of trig functions (old fashioned!), using an illustration which shows various common angles (including 45 and 90 degrees) and their related trig functions.  Or you could memorize the values of the sine, cosine and tangent functions, which I highly recommend.

                         1
sin 45 deg = -----------  
                      sqrt(2)
              
                          1
cos 45 deg = ----------
                      sqrt(2)

tan 45 deg = 1/1 = 1

cos 90 deg = 0
sin 90 deg = 1
tan 90 deg:  undefined

batolisis

The sine, cosine, and tangent of 45° for 45, 45, 90 degree triangle are [tex]\frac{\sqrt{2} }{2}[/tex], [tex]\frac{\sqrt{2} }{2}[/tex] and 1 respectively.

What are trigonometric ratios?

Trigonometric ratios are ratios of the the sides of a right-angled triangle.

Analysis:

For a 45, 45 and 90 right-angled triangle, the adjacent sides are equal and have one unit each.

To solve for hypotenuse

[tex]hypotenuse^{2}[/tex] = [tex]adjacent1^{2}[/tex] + [tex]adjacent2^{2}[/tex]

[tex]hypotenuse^{2}[/tex] = [tex]1^{2}[/tex] + [tex]1^{2}[/tex]

hypotenuse = [tex]\sqrt{2}[/tex]

cos 45 = adjacent/hyp

cos 45 = 1/ [tex]\sqrt{2}[/tex] =  [tex]\sqrt{2}[/tex]/2

sin 45 = opp/hyp = 1/ [tex]\sqrt{2}[/tex] =  [tex]\sqrt{2}[/tex]/2

tan 45 = opp/adj = 1/1 = 1

In conclusion, the sine, cosine, and tangent of angle 45 are  [tex]\sqrt{2}[/tex]/2,  [tex]\sqrt{2}[/tex]/2 and 1 respectively

Learn more about trigonometry: brainly.com/question/1143565

#SPJ2

Otras preguntas