Answer:
it is irrational,because the product of an irrational number and a non zero rational number is irrational
Answer:

and

respectively.
Step-by-step explanation:
The given trigonometric equation is

We divide both sides by
to get,

This implies that,

We take the inverse tangent of both sides to get,




Since the tangent ratio has a period of
, another solution is

to the nearest degree.
In the third quadrant,




The solutions are

The value of x that satisfies the equation if x lies in the second quadrant is 
The value of x that satisfies the equation if x lies in the third quadrant is
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
BCDE=100+ 80+100+80 = 360 degree
BAC = 20 degree
DBC = 100 degree
BDE = 80 degree
Consent is 5 coefficient is 3x hope this helps