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forsale [732]
3 years ago
9

24) sin x = 1/3 Find cos x.

Mathematics
2 answers:
Maru [420]3 years ago
8 0

Answer:

cos(x) =\±2\frac{\sqrt{2}}{3}

Step-by-step explanation:

We know that sen(x) =\frac{1}{3}

Remember the following trigonometric identities

cos ^ 2(x) = 1-sin ^ 2(x)

Use this identity to find the value of cosx.

If sen(x) =\frac{1}{3} then:

cos ^ 2(x) = 1-(\frac{1}{3})^2

cos ^ 2(x) =\frac{8}{9}

cos(x) =\±\sqrt{\frac{8}{9}}

cos(x) =\±2\frac{\sqrt{2}}{3}

liq [111]3 years ago
6 0

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

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Find ten rational numbers between -1 by 5 and 1 by 2 ​
uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\

Now multiply  the numerator  and denominators of the both the numbers by 10.

\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational  \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}

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What two products do you get when you cross-multiply the fractions 2/5 and 3/8?
jarptica [38.1K]
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explanation:
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3 years ago
What are the solutions of ×^2=8-5×?
yaroslaw [1]

Answer:

x=8 & x=3

Step-by-step explanation:

We want to get the (x)s all on one side.

add 5x to each side

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Since x^2 is x•x and 5x is 5•x then we can change the formula to

x(x+5)=8

then seperate that

x=8

x+5=8

subtract 5 from each side

x=3.

The solutions are 8 and 3.

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3 years ago
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