Answer:

Step-by-step explanation:
We have a geometric sequence with:
,
, and 
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:

Then:

Now we solve for 


(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
The Jasmine result is the good one because 1 mégas meter=1 000 000
Answer:
see explanation
Step-by-step explanation:
Note that cos315° = cos45° and sin315° = - sin45° and
cos45° = sin45° =
= 
Hence
12(cos315° + isin315°)
= 12(cos45° - isin45°)
= 12(
- i
)
= 6
- 6i 
You can’t factor 31 since it’s a prime number luv