Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

2 answers:

6 0

We are to find the value of $sin^{-1}(tan( \frac{ \pi }{4}))$

First we evaluate tan(π/4). The value of tan(π/4) is 1.

So,

$sin^{-1}(tan( \frac{ \pi }{4})) =sin^{-1} (1)$

sin(π/2) = 1
So,
$sin^{-1}(1)= \frac{ \pi }{2}$

Thus, we can write:

$sin^{-1}(tan( \frac{ \pi }{4}))= \frac{ \pi }{2}$ radians.

So, the answer to this question is π/2 radians.

Leokris [45]3 years ago

6 0

Answer:

the answer is b

Step-by-step explanation:

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If B is the midpoint of AC, AB=x+6 and AC=5x-6, then what is BC?

nikklg [1K]

If B is the midpoint of AC, then AB=BC. It is also BC=AC-AB

AB = x + 6

AC = 5x - 6

BC = (5x - 6) - (x + 6)

We can kinda use distributive property, like this:

BC = 5x - 6 -x - 6

Combine like terms:

BC = 4x - 12

To verify, we can add AB and BC to see if their sum is equal to AC.

(x + 6) + (4x - 12) = 5x - 6

If we are correct, this equation will be true.

x + 6 + 4x - 12 = 5x - 6

Combine like terms:

6 + 5x - 12 = 5x - 6

5x - 6 = 5x - 6

It's correct!

BC = 4x - 12. Final Answer.

Let me know if you have any questions about this! :)

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3 years ago

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Zolol [24]

Answer:

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5 0

3 years ago

Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of

erik [133]

Answer:

2.88

Step-by-step explanation:

Data provided in the question

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