Answer: 2&3
Step-by-step explanation:
Assuming that arcs are given in degrees, call S the following sum:
S = sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360°
Rearranging the terms, you can rewrite S as
S = [sin 1° + sin 359°] + [sin 2° + sin 358°] + ... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°
S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] + ...+ [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)
But for any real k,
sin(360° – k) = – sin k
then,
S = [sin 1° – sin 1°] + [sin 2° – sin 2°] + ... + [sin 179° – sin 179°] + sin 180° + sin 360°
S = 0 + 0 + ... + 0 + 0 + 0 (... as sin 180° = sin 360° = 0)
S = 0
Each pair of terms in brackets cancel out themselves, so the sum equals zero.
∴ sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360° = 0 ✔
I hope this helps. =)
Tags: <em>sum summatory trigonometric trig function sine sin trigonometry</em>
The volume of the rectangular prism is 1 
, If the rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
Step-by-step explanation:
The given is,
Let, l - Length of the rectangular prism
w - Width of the rectangular prism
h - Height of the rectangular prism
Step:1
From the given,
l - 2 inches
w - 1 inch
h - 
inch
Step:2
Formula for the volume of a rectangular prism is,
Substitute the values of the w, h and l
= ( 1 × × 2 )
= 1
V = 1
Result:
Thus the volume of the rectangular prism is 1 , for the given rectangular prism have a length of 2 inches, a width of 1 inch, and a height of 1/2 inch.
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
they can ship out 271 boxes each day. 3,258/12 is 271.5 but the 0.5 doesn't matter bc that'd be half a box. a total of 2 crates can be filled fully with another crate that isn't completely full (in total 3 crates max)
