(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
A) 25% = 25/100 = 0.25
b) 18% = 18/100 = 0.18
c) 40% = 40/100 = 0.40
d) 2% = 2/100 = 0.02
e) 0.15% = 0.15/100 = 0.0015
4/16 in simplest form is 1/4 because 4 goes into 4 1 time and 4 goes into 16 4 times
I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.
If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.
You can evaluate the following expression to find the total.
Answer:
In order to get this perfect square trinomial, the factored form will be (a - b)^2
Step-by-step explanation:
We know this because it follows the rule of perfect squares in which the ends are both squares and the middle term is -2 times each term.
