Let a=cos(π/3), b=cos(1radian), c=cos(1degree), we have that
A.c a
The function f(t)=cos(t) is decreasing if 0≤t≤π\le t \le \pi≤t≤π .
We have 0<t1=1 degree <t2=1 radian ≈57∘<π/3=60∘\approx 57^\circ <\pi/3=60^\circ≈57∘<π/3=60∘ , therefore
c=f(t1)>b=f(t2)>a=f(t3). So we have B.a<b<c.
Need a fast expert's response?
and get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Comments