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Convert the following angle from degrees to radians. Express your answer in simplest form. 60^(@) Answer:

Convert the following angle from degrees to radians. Express your answer in simplest form.\newline60∘ 60^{\circ} \newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Convert the following angle from degrees to radians. Express your answer in simplest form.\newline60∘ 60^{\circ} \newlineAnswer:
  1. Convert to Radians: To convert degrees to radians, we use the conversion factor that π\pi radians is equivalent to 180180 degrees. The conversion formula is:\newlineRadians = Degrees ×(π180)\times \left(\frac{\pi}{180}\right)
  2. Apply Formula: Now, we apply the formula to 6060 degrees:\newlineRadians = 60×(π/180)60 \times (\pi/180)
  3. Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6060 in this case:\newlineRadians = (60/60)×(π/180/60)(60/60) \times (\pi/180/60)\newlineRadians = 1×(π/3)1 \times (\pi/3)
  4. Final Result: The final simplified form of 6060 degrees in radians is:\newlineRadians = π3\frac{\pi}{3}

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