Convert the angle 0=345degrees to radians. Express your answer exactly.

Conversion Factor: To convert degrees to radians, we use the conversion factor that π radians is equivalent to 180 degrees. The formula to convert degrees to radians is given by multiplying the degree measure by π/180.Apply Formula: Now, we apply the formula to convert 345 degrees to radians. We have: 345 degrees * (π/180) radians/degreeSimplify Expression: Simplify the expression by multiplying 345 by π and then dividing by 180. (345 * π) / 180Divide by Common Divisor: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15 in this case. (345/15) * (π/(180/15))Final Simplification: After simplifying, we get: 23 * (π/12)Exact Value: The exact value in radians for 345 degrees is therefore 23π/12.

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Convert the angle $\theta = 345^\circ$ to radians. Express your answer exactly.

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Q. Convert the angle

\theta = 345^\circ

to radians. Express your answer exactly.

Conversion Factor: To convert degrees to radians, we use the conversion factor that $\pi$ radians is equivalent to $180$ degrees. The formula to convert degrees to radians is given by multiplying the degree measure by $\pi/180$ .
Apply Formula: Now, we apply the formula to convert $345$ degrees to radians. We have: $345$ degrees $*(\pi/180)$ radians/degree
Simplify Expression: Simplify the expression by multiplying $345$ by $\pi$ and then dividing by $180$ . $\newline$ $(345 \times \pi) / 180$
Divide by Common Divisor: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $15$ in this case. $\newline$ $(\$\frac{345}{15}$ ) * ( $\frac{\pi}{\frac{180}{15}}$ )\)
Final Simplification: After simplifying, we get: $23 \times (\pi/12)$
Exact Value: The exact value in radians for $345$ degrees is therefore $\frac{23\pi}{12}$ .