We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
3/25 is your answer
12/100-->
6/50-->
=3/25
Step-by-step explanation:
406 and 411 because there is at least 400 sheets because of the 4 boxes of 100 so there would have to be more than 400 because of the loose sheets
Answer:
0.16 m/s²
Step-by-step explanation:
Given:
Δx = 5600 m
v₀ = 0 m/s
v = 42 m/s
Find: a
v² = v₀² + 2aΔx
(42 m/s)² = (0 m/s)² + 2a (5600 m)
a = 0.16 m/s²