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2 years ago

Compare the difference between an independent event and a dependent event

1 answer:

5 0

Independent/Dependent Events. Two events are independent if the result of the second event is not affected by the result of the first event. If and are independent events, the probability of both events occurring is the product of the probabilities of the individual events.

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2 years ago

If the sinø=7/12, what is cosø?

777dan777 [17]

Answer:

If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

$sin\theta=\frac{opposite}{hypotenuse}$

$cos\theta=\frac{adjacent}{hypotenuse}$

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2$

We have Hypotenuse= 12 and Opposite = 7 (because $sin\theta=\frac{opposite}{hypotenuse}$ and we are given $sin\theta=\frac{7}{12}$

Inserting values and finding adjacent:

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}$

So, value of Adjacent is $\sqrt{95}$

Now finding cosФ

$cos\theta=\frac{adjacent}{hypotenuse}$

Adjacent = $\sqrt{95}$ , hypotenuse = 12

$cos\theta=\frac{\sqrt{95} }{12}$

So, If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

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2 years ago