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3241004551 [841]
3 years ago
12

620 + 107 round estimate the sum

Mathematics
2 answers:
Westkost [7]3 years ago
6 0
Okay. 

 620 would be rounded estimate to 600

& 

107 would be rounded estimate to 100 


BigorU [14]3 years ago
3 0
620+107=727 round it 730 by tenth and 700 by hundredth
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The number is even. It is nit divisible by 3. It is not divisible by 5. It is not greater than 9^2. Is it not less than 8^2. Wha
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Answer:

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iii) sin(x-180) = \frac{\sqrt{3}}{2}

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sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

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sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

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

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sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

cot(x) = \frac{cos(x)}{sin(x)}\\

Using the values, we get:

cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = -(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}

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3 years ago
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