+0

# COS(X)= -0.75. Estimate to the nearest hundredths if (X) is greater than or equal to 0* and less than 360*. ((*) = degrees)

0
66
2

COS(X)= -0.75. Estimate to the nearest hundredths if (X) is greater than or equal to 0* and less than 360*. ((*) = degrees)

Guest Feb 16, 2017

#2
+18605
+10

COS(X)= -0.75.

Estimate to the nearest hundredths if (X) is greater than or equal to 0* and less than 360*. ((*) = degrees)

$$0 \le x \le 360^{\circ}$$

$$\begin{array}{|rcll|} \hline \cos(x) &=& -0.75 \quad & | \quad \pm \arccos() \\ x &=& \pm \arccos(-0.75) \\ x &=& \pm 138.590377891^\circ \pm k \cdot 360^\circ\\ x_1 &=& 138.590377891^\circ \pm k \cdot 360^\circ \quad & k \in N \quad k= 0,1,2,3,\dots \\ \mathbf{x_1} &\mathbf{=}&\mathbf{ 138.590377891^\circ } \quad & 0 \le x \le 360^{\circ} \\\\ x_2 &=& -138.590377891^\circ \pm k \cdot 360^\circ \quad & k \in N \quad k= 0,1,2,3,\dots \\ x_2 &=& -138.590377891^\circ + 360^\circ \\ \mathbf{x_2} &\mathbf{=}&\mathbf{221.409622109^\circ } \quad & 0 \le x \le 360^{\circ} \\ \hline \end{array}$$

heureka  Feb 17, 2017
Sort:

#1
0

COS(X)= -0.75

X =138.59 degrees.

Guest Feb 16, 2017
#2
+18605
+10

COS(X)= -0.75.

Estimate to the nearest hundredths if (X) is greater than or equal to 0* and less than 360*. ((*) = degrees)

$$0 \le x \le 360^{\circ}$$

$$\begin{array}{|rcll|} \hline \cos(x) &=& -0.75 \quad & | \quad \pm \arccos() \\ x &=& \pm \arccos(-0.75) \\ x &=& \pm 138.590377891^\circ \pm k \cdot 360^\circ\\ x_1 &=& 138.590377891^\circ \pm k \cdot 360^\circ \quad & k \in N \quad k= 0,1,2,3,\dots \\ \mathbf{x_1} &\mathbf{=}&\mathbf{ 138.590377891^\circ } \quad & 0 \le x \le 360^{\circ} \\\\ x_2 &=& -138.590377891^\circ \pm k \cdot 360^\circ \quad & k \in N \quad k= 0,1,2,3,\dots \\ x_2 &=& -138.590377891^\circ + 360^\circ \\ \mathbf{x_2} &\mathbf{=}&\mathbf{221.409622109^\circ } \quad & 0 \le x \le 360^{\circ} \\ \hline \end{array}$$

heureka  Feb 17, 2017

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details