Remark
<u>Two facts.</u>
1) Tan(x) = Sin(x) / Cos(x)
2) Csc(x) and Sin(x) are reciprocal relationships. When multiplied together, they equal 1.
Solution
So Csc(x) * tan(x) = csc(x) * sin(x) / cos(x) = 1/cos(x) = sec(x)
So far what we have is tan^2(x) + sec(x). We have to get rid of tan^2(x)
Use the identity of 1 + tan^2(x) = sec^2(x)
tan^2(x) = sec^2(x) - 1
sec^2(x) - 1 + sec(x)
a^2 + a - 1 <<<<<< Answer
B is the answer.
You need to find a number that can go into both 3 and 12. 3 can go into 3 and 12. So, you would then find out, how many times does 3 go into this number? Well, 3 goes into 3 once of course, and 3 goes into 12 four times. (3 x 4 = 12) In a fraction, this would be 1/4. (1/4 is the simplification of 3/12)
Two acute angles are formed by the bisector, 45 degrees each.
$145
to find the average divide earnings by 5
$725 ÷ 5 = $145
First, we determine how many months are there in two years. We know that each year has 12 months. With these, there are 24 months in 2 years. Solving for the number of crickets in two months,
f(x) = 160 x (2^24/2)
= 655,360
Therefore, after 2 years there are 655,360 crickets.
