Find all solutions to the equation. sin x = square root of three divided by two.

Mathematics

2 answers:

Dafna1 [17]2 years ago

8 0

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

$sin x = \frac{ \sqrt{3} }{2 \\ ?}$
$ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360$
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ddd [48]2 years ago

5 0

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

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2 years ago

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olasank [31]

Answer:

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Step-by-step explanation:

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2 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.