Answer:
<u>Undecillion</u> has 36 0's

(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 formula is Interest = principle times rate times time in years.
I=prt
p=1000
r= 0.025
t=x
To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.
500 = 1000(0.025)x
500 = 25x
x= 20 years