Find the co terminal angle for 15pi/4
15π/4 = 675°
which is co-terminal with 675-360 or 315°
or 7π/4
notice that 15π/4 - 2π = 7π/4
Nonnegative coterminal is (pi)/4
Negative coterminal is -(pi)/4
Ah, the co terminal angle for 15pi/4. Well, you could say it's a "pie"-rfect choice! But seriously, let's find that co terminal angle.
To find the co terminal angle, we can add or subtract any number of complete revolutions, which is the same as adding or subtracting 2pi.
So, 15pi/4 plus 2pi would give us 15pi/4 + 8pi/4, which is 23pi/4. That's one choice for a co terminal angle.
If you want another, we can subtract 2pi as well. So 15pi/4 minus 2pi would be 15pi/4 - 8pi/4, giving us 7pi/4.
Therefore, the co terminal angles for 15pi/4 are 23pi/4 and 7pi/4. Now, that's a "pi"-rfectly amusing way to find co terminal angles!
To find the coterminal angle for 15π/4, you can add or subtract any multiple of 2π to the given angle.
Since 15π/4 is already a large angle, we can find a coterminal angle by subtracting 2π.
15π/4 - 2π = (15π - 8π) / 4 = 7π/4
Therefore, the coterminal angle for 15π/4 is 7π/4.
To find the coterminal angle for a given angle in radians, you can add or subtract any multiple of 2π (the period of a circle) to the angle.
In this case, the given angle is 15π/4. To find the coterminal angle, we can add or subtract multiples of 2π.
To add a multiple of 2π, we can multiply 2π by an integer.
To subtract a multiple of 2π, we can multiply -2π by an integer.
Let's start with adding multiples of 2π:
15π/4 + 2π = (15π/4) + (8π/4) = 23π/4
15π/4 + 4π = (15π/4) + (16π/4) = 31π/4
Now let's try subtracting multiples of 2π:
15π/4 - 2π = (15π/4) - (8π/4) = 7π/4
15π/4 - 4π = (15π/4) - (16π/4) = -π/4
Therefore, the coterminal angles for 15π/4 are 23π/4, 31π/4, 7π/4, and -π/4.