What is a positive angle less than 2 pi that is coterminal with -pi/30? im so confuseddd i don't know what to do!!!!! please help
To find a positive angle that is coterminal with -π/30, you need to add a full revolution (2π) to the given angle (-π/30) until you obtain a positive angle less than 2π.
Since -π/30 is negative, you can add 2π to it repeatedly to find a coterminal angle in the positive direction until you obtain an angle less than 2π.
Let's go through the steps:
1. Start with the given angle: -π/30.
2. Add 2π to -π/30:
-π/30 + 2π = (2π - π/30)
3. Simplifying the expression:
(2π - π/30) = (60π/30 - π/30) = (59π/30)
4. The resulting angle (59π/30) is greater than 2π, so you need to continue simplifying by subtracting 2π repeatedly.
5. Divide 59π by 30:
(59π/30) ÷ (2π) = 29.5
6. Multiply the decimal (29.5) by 2π to get the simplified angle:
29.5 x 2π = 59π
Therefore, the positive angle less than 2π that is coterminal with -π/30 is 59π.