First of all be more spusific in your question
Using simpler trigonometric identities, the given identity was proven below.
<h3>
How to solve the trigonometric identity?</h3>
Remember that:

Then the identity can be rewritten as:

Now we can multiply both sides by cos⁴(x) to get:

Now we can use the identity:
sin²(x) + cos²(x) = 1

Thus, the identity was proven.
If you want to learn more about trigonometric identities:
brainly.com/question/7331447
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5 quarters, 15 dimes
q + 10 = d
0.25q + 0.1d = 2.75
0.25q + 0.1(q + 10) = 2.75
0.25q + 0.1q + 1 = 2.75
0.35q = 1.75
q = 5
Check:
0.25(5)+ 0.1(15)= 2.75
1.25 + 1.5 = 2.75
2.75 = 2.75 :)
Answer:
Formula: A = 48,000(1+0.02)^t
salary after 30 years: $ 86,945.35
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial salary
r = raising rate (decimal form)
t= years
A = salary after t years
Replacing with the values given:
A = 48,000 (1+ 2/100)^t
A = 48,000(1+0.02)^t
Salary after 30 years: substitute t=30
A = 48,000(1+0.02)^30
A = 48,000(1.02)^30
A=$ 86,945.35
Feel free to ask for more if needed or if you did not understand something.
Answer:
The point estimate for this problem is 0.48.
Step-by-step explanation:
We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.
A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".
<em>Let </em>
<em> = proportion of students who felt comfortable reporting cheating by their fellow students</em>
<u></u>
<u>Now, point estimate (</u>
<u>) is calculated as;</u>
where, X = number of students who answered yes = 1,344
n = number of students surveyed = 2,800
So, Point estimate (
) =
= <u>0.48 or 48%</u>