Find the supplement of 8pi/17.
what is PI-8/17 PI ?
8pi/17
Not quite
pi = 17pi/17
17pi/17 - 8pi/17 = 9pi/17
To find the supplement of an angle, we need to subtract the given angle from π radians (180 degrees).
The supplement of an angle θ is given by π - θ.
In this case, we have θ = 8π/17.
To find the supplement, we subtract θ from π:
Supplement = π - θ = π - 8π/17
To simplify this expression, we need to find a common denominator. The denominator of π is 1, so we'll multiply the numerator and denominator of 8π/17 by 17:
Supplement = (17π/17) - (8π/17)
Now we can combine the fractions:
Supplement = (17π - 8π) / 17
Simplifying further, we have:
Supplement = 9π / 17
Therefore, the supplement of 8π/17 is 9π/17.