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

Mathematics

1 answer:

dolphi86 [110]3 years ago

4 0

Option D:

$$\cos60^\circ=\frac{7}{14}$

Solution:

Given data:

$$\cos -- = \frac{7}{14}$

Let the unknown degree be x.

To find the degree x:

$$\cos x = \frac{7}{14}$

Cancel the common factor 7 in the numerator and denominator.

$$\cos x = \frac{1}{2}$

Using trigonometry basic formula,

we know that $\cos60^\circ = \frac{1}{2}$ .

So, x = 60°.

The unknown degree measure is 60°.

$$\cos 60^\circ= \frac{7}{14}$

Hence option D is the correct answer.

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