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scoundrel [369]

3 years ago

8

If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)

1 answer:

Sergio039 [100]3 years ago

8 0

We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9

tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48

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lora16 [44]

Answer:

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Step-by-step explanation:

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2 years ago

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Nataly_w [17]

Answer:

$\frac{2/3}{1}$ and $\frac{3}{1}$

Step-by-step explanation:

Options

$\frac{1}{1/3}$ $\frac{2/3}{1}$ $\frac{2}{3}$ $\frac{3}{1}$ $\frac{1}{9}$

Required

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Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If $\frac{a}{b}$ represents unit rate, then $b = 1$

Having said that:

Only $\frac{2/3}{1}$ and $\frac{3}{1}$ satisfy the condition of unit rates; others are not because they have a denominator other than 1

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2 years ago

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grin007 [14]

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Step-by-step explanation:

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KiRa [710]

Answer:

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3 years ago

File Is Attached To The Question

Paul [167]

Answer:

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Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

function
PEMDAS

<h3>let's solve:</h3>

according to the question

the function is

f(x)=3.05x(first answer)

let's justify

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6 0

2 years ago