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3 years ago

Find the exact value of tan22.5 using the half angle formula.

2 answers:

mote1985 [20]3 years ago

7 0

Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2 = 1/(√2 + 1) = (√2 - 1)

marta [7]3 years ago

3 0

Answer:

C on Edge

Step-by-step explanation:

I got it right on the test

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Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline

Otrada [13]

The limit of the given function if $\lim_{x \to 0} f(x)=4$ is 64

<h3>Limit of a function</h3>

Given the following limit of a function expressed as;

$\lim_{x \to 0} f(x)=4$

We are to determine the value of the function

$\frac{1}{4} \lim_{x \to 0} [f(x)]^4$

This can also be expressed as

$\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64$

Hence the limit of the given function if $\lim_{x \to 0} f(x)=4$ is 64

Learn more on limit of a function here: brainly.com/question/23935467

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2 years ago

Population within 50 mile radius of paso robles, ca

SIZIF [17.4K]

Yes it is 50 miles per hour

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3 years ago

In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

$x-1=y.$

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

$2(y-1)=x.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.$

Then

$x=y+1=3+1=4.$

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3 years ago

A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that

bazaltina [42]

Answer:

$=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568} = .00081$

Step-by-step explanation:

$5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}$

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Sedaia [141]

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