Question

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

Answer 1

Option D:

`$\cos60^\circ=(7)/(14)`

Solution:

Given data:

`$\cos -- = (7)/(14)`

Let the unknown degree be x.

To find the degree x:

`$\cos x = (7)/(14)`

Cancel the common factor 7 in the numerator and denominator.

`$\cos x = (1)/(2)`

Using trigonometry basic formula,

we know that
`\cos60^\circ = (1)/(2)`.

So, x = 60°.

The unknown degree measure is 60°.

`$\cos 60^\circ= (7)/(14)`

Hence option D is the correct answer.