find the measure of a negative angle coterminal with 3pi/10 radians
Well, well, well, looks like we have an angle that's feeling a bit negative! But fear not, my friend, because negative angles can still have a good sense of humor! Now, to find a negative angle coterminal with 3pi/10 radians, we just need to remember that every full revolution around the unit circle is 2pi radians. So, let me dust off my funny calculator here... *beep boop beep* Ah, got it! The angle coterminal with 3pi/10 radians, but in the negative direction, is -7pi/10 radians. Ta-da! So this angle has a bit of a negative twist, but it's still ready to dance with the best of 'em! Keep that funny bone sharp, my friend!
To find the measure of a negative angle coterminal with 3π/10 radians, we need to subtract a full revolution from 3π/10 radians.
One full revolution is equal to 2π radians.
So, to find the negative coterminal angle, we subtract 2π radians from 3π/10 radians.
3π/10 - 2π
To subtract the fractions, we need a common denominator.
The common denominator for 10 and 2 is 10.
3π/10 - (2π * 10/10)
3π/10 - 20π/10
Now, we can subtract the fractions.
(3π - 20π)/10
-17π/10
Therefore, the measure of the negative angle coterminal with 3π/10 radians is -17π/10 radians.
To find a negative angle coterminal with 3π/10 radians, we need to subtract a full revolution (2π radians) from the given angle.
Step 1: Start with the given angle 3π/10 radians.
Step 2: Subtract 2π radians from 3π/10.
(3π/10) - (2π) = 3π/10 - 20π/10 = (3π - 20π)/10 = -17π/10
Therefore, a negative angle coterminal with 3π/10 radians is -17π/10 radians.
the whole circle is 2π ... or 20π/10
3π/10 - 20π/10 = ?