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AlexFokin [52]
3 years ago
7

Angle θ lies in the second quadrant, and sin θ = .

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180∘ and 270∘ &By considering the x- and y-coordinates of the point P as it lies in each of the four quadrants, we can identify the sign of each of the trigonometric ratios in a given quadrant. These are summarised in the following diagrams.  &In the module Further trigonometry (Year 10), we saw that we could relate the sine and cosine of an angle in the second, third or fourth quadrant to that of a related angle in the first quadrant. The method is very similar to that outlined in the previous section for angles in the second quadrant.

We will find the trigonometric ratios for the angle 210∘, which lies in the third quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive.

To find the sine and cosine of 210∘, we locate the corresponding point P in the third quadrant. The coordinates of P are (cos210∘,sin210∘). The angle POQ is 30∘ and is called the related angle for 210∘.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We have to write an expression that looks like Sarah’s expression: 5(2j + 3 + j). We habr Replace the coefficients so that our expression is not equivalent. Also We may use any number that we choose to replace the coefficients ensuring to leave the variables the same.

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6 0
3 years ago
What are the 2 numbers when 30 is the product and -11 is the sum
MArishka [77]

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4 years ago
List one way a parallelogram and a rhombus are different​
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8 0
3 years ago
Greg is 10 years older than his brother gabe.he is also 3 times as old as gabe.how old is gabe
Elza [17]

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:

y = x + 10           (1)

Also. Greg is 3 times as old as Gabe, hence:

y = 3x                 (2)

From equation 1 and equation 2:

y = x + 10 = 3x

Hence:

3x = x + 10

Subtracting x from both sides gives:

3x - x = x + 10 - x

2x = 10

Dividing by 2:

2x/2 = 10/2

x = 5 years

y = x + 10 = 5 + 10 = 15 years

Therefore Gabe is 5 years old and Greg is 15 years old

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