Answer:
about 116.18
Step-by-step explanation:
Circumference is 2PI*radius
So it should equal 37*3.14 which equals about 116.18
Find the perimiter now
that is right triangle so
when hpotonouse is c and hthe lgs are a and b
a²+b²=c²
given
leg is 8
hypotonuse is 13
8²+b²=13²
64+b²=169
minus 64 from both sides
b²=105
sqrt both sides
b=√105
find total perimiter
8+13+√105=21+√105
times 1/32 for scale
0.65625+0.32021721143623744947565745876628=
0.97646721143623744947565745876628 m=
97.646721143623744947565745876628 cm
A is the answer
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
1.7320508
Step-by-step explanation:
