Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
When ANY number is multiplied by its own reciprocal, the product is ' 1 '.
Answer:

Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:

Where a1=48 and r=1.5

For example, to find the 5th term:
