Find an angle theta coterminal to -942^(@), where 0^(@) <= theta < 360^(@). Answer:

Add 360° Repeatedly: To find an angle coterminal to -942° that lies between 0° and 360°, we need to add or subtract multiples of 360° until we get an angle in the desired range. Since -942° is negative, we will add 360° repeatedly until we get a positive angle less than 360°.Determine Multiples of 360°: First, let's determine how many times 360° goes into 942°. We do this by dividing 942 by 360. 942 ÷ 360 ≈ 2.6167 This means that 360° goes into 942° a little over 2 times. Since we are dealing with a negative angle, we need to consider the next whole number greater than 2.6167, which is 3.Calculate Additional Angle: Now, we multiply 360° by 3 to find out how much angle we need to add to -942° to make it positive. 360° × 3 = 1080°Find Coterminal Angle: Next, we add 1080° to -942° to find the coterminal angle. -942° + 1080° = 138°Check Angle Range: We check if 138° is within the range of 0° to 360°. Since 0° ≤ 138° < 360°, 138° is indeed within the desired range.

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Find an angle
theta coterminal to
-942^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $-942^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Math Problems

Algebra 2

Csc, sec, and cot of special angles

Full solution

Q. Find an angle

\theta

coterminal to

-942^{\circ}

, where

0^{\circ} \leq \theta<360^{\circ}

\newline

Answer:

Add $360$ ° Repeatedly: To find an angle coterminal to $-942°$ that lies between $0°$ and $360°$ , we need to add or subtract multiples of $360°$ until we get an angle in the desired range. Since $-942°$ is negative, we will add $360°$ repeatedly until we get a positive angle less than $360°$ .
Determine Multiples of $360$ °: First, let's determine how many times $360°$ goes into $942°$ . We do this by dividing $942$ by $360$ . $\newline$ $942 ÷ 360 ≈ 2.6167$ $\newline$ This means that $360°$ goes into $942°$ a little over $2$ times. Since we are dealing with a negative angle, we need to consider the next whole number greater than $2.6167$ , which is $3$ .
Calculate Additional Angle: Now, we multiply $360°$ by $3$ to find out how much angle we need to add to $-942°$ to make it positive. $\newline$ $360° \times 3 = 1080°$
Find Coterminal Angle: Next, we add $1080°$ to $-942°$ to find the coterminal angle. $\newline$ $-942° + 1080° = 138°$
Check Angle Range: We check if $138°$ is within the range of $0°$ to $360°$ . $\newline$ Since 0° \leq 138° < 360°, $138°$ is indeed within the desired range.