Find an angle theta coterminal to 696^(@), where 0^(@) <= theta < 360^(@). Answer:

Divide by 360: To find an angle coterminal to 696° that is between 0° and 360°, we need to subtract or add multiples of 360° until the angle falls within the desired range.Calculate Remainder: First, let's see how many times 360° fits into 696°. We do this by dividing 696 by 360. 696 ÷ 360 ≈ 1.9333 This means that 360° goes into 696° a little more than once.Use Modulus Operation: Since we only need the remainder after dividing by 360° to find the coterminal angle, we can use the modulus operation. 696 mod 360 = 336Final Coterminal Angle: The result, 336°, is the angle coterminal to 696° that falls within the range of 0° to 360°.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

Find an angle $\theta$ coterminal to $696^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Csc, sec, and cot of special angles

Full solution

Q. Find an angle

\theta

coterminal to

696^{\circ}

, where

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

\newline

Answer:

Divide by $360$ : To find an angle coterminal to $696^\circ$ that is between $0^\circ$ and $360^\circ$ , we need to subtract or add multiples of $360^\circ$ until the angle falls within the desired range.
Calculate Remainder: First, let's see how many times $360°$ fits into $696°$ . We do this by dividing $696$ by $360$ . $\newline$ $696 ÷ 360 ≈ 1.9333$ $\newline$ This means that $360°$ goes into $696°$ a little more than once.
Use Modulus Operation: Since we only need the remainder after dividing by $360°$ to find the coterminal angle, we can use the modulus operation. $\newline$ $696 \mod 360 = 336$
Final Coterminal Angle: The result, $336°$ , is the angle coterminal to $696°$ that falls within the range of $0°$ to $360°$ .