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makvit [3.9K]
3 years ago
13

Find the exact values of the sine, cosine, and tangent of the angle. 255° = 300° − 45°

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
Asdfghjkl;poiuytrewqzxcvbnm,
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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
(sec(π/3) + tan(-7π/4))/(1-cos(2 π/3))
Paha777 [63]

Answer:

3

Step-by-step explanation:

3+3_3=3

after that 3+2+6+7+7+8+8+9+9+9+9+9+0+0+8+6+5+4+ 5=?

u will do the answer and it will be done

6 0
3 years ago
Read 2 more answers
What is the median of the following numbers? 4, 5, 5, 2, 1, 3, 4, 5, 4, 4, 4, 7
Katen [24]

Answer:

4

Step-by-step explanation:

Rewrite is order going from least to greatest.

1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 7

Find the middle number.

Because there are an even amount of numbers you have to take the two middle numbers which are 4 and 4 add them which gives you 8 and then divide that by 2( because you added two numbers.)

Therefore the answer is 4

3 0
2 years ago
The base of the prism in the diagram is rectangular, but the edges that are not parallel to the base titled. What is the volume
joja [24]
The answer is
the volume of the prism is 648\ cm^{3}
4 0
3 years ago
A wedding costs $2,460 for 20 guests. How much did the wedding cost per person?
almond37 [142]

Answer:

123 PER PERSON

Step-by-step explanation:

All you have to do is divide 2,460 by 20 to get 123

7 0
3 years ago
Read 2 more answers
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