Which of the following values best approximates the length of c in triangle abc where c = 90 degrees, b = 12, b = 15 degrees

We apply the Law of Sines 

a/sin A = b/sin B = c/sin C

We have that b = 12, B = 15 degrees

C = 90 degrees

....> c/sin(90) = 12/sin(15)..............> c = 12/0.258 = 46.3644 

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: