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  • 04-03-2020
  • Mathematics
contestada

cos ■ = 7/14
A. 39°
B. 30°
C. 26.57°
D. 60°​

cos 714A 39B 30 C 2657D 60 class=

Respuesta :

shilpa85475 shilpa85475
  • 12-03-2020

Option D:

[tex]$\cos60^\circ=\frac{7}{14}[/tex]

Solution:

Given data:

[tex]$\cos -- = \frac{7}{14}[/tex]

Let the unknown degree be x.

To find the degree x:

[tex]$\cos x = \frac{7}{14}[/tex]

Cancel the common factor 7 in the numerator and denominator.

[tex]$\cos x = \frac{1}{2}[/tex]

Using trigonometry basic formula,

we know that [tex]\cos60^\circ = \frac{1}{2}[/tex].

So, x = 60°.

The unknown degree measure is 60°.

[tex]$\cos 60^\circ= \frac{7}{14}[/tex]

Hence option D is the correct answer.

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