Answer:
We want to prove the relation:
cosec(a)^2 - cot(a)^2 = 1
where:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
We can start with the relationship:
cos(a)^2 + sin(a)^2 = 1
Now, let's divide by sin(a)^2 in both sides:
(cos(a)^2 + sin(a)^2)/sin(a)^2 = 1/sin(a)^2
cos(a)^2/sin(a)^2 + sin(a)^2/sin(a)^2 = (1/sin(a))^2
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
and remember that:
cosec(a) = 1/sin(a)
cot(a) = 1/tg(a) = cos(a)/sin(a)
Then we can write:
(cos(a)/sin(a))^2 + 1 = (1/sin(a))^2
as:
cot(a)^2 + 1 = cosec(a)^2
1 = cosec(a)^2 - cot(a)^2
And this is the relation we wanted to prove.
<------------------>. Need a question to do more
P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6
Answer:
is the answer 2
Step-by-step explanation:
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Using the proportion concept, it is found that:
- According to Tyler's sample, the estimate is of 0.2 = 20%.
- According to Kyran's sample, the estimate is of 0.17 = 17%.
- Due to the higher sample size, Kyran's estimate is more accurate.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.
In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:
p = 2/10 = 0.2.
In Kiran's sample, 17 out of 100 would, hence:
p = 17/100 = 0.17.
Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.
More can be learned about proportions at brainly.com/question/24372153
