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gladu [14]
3 years ago
15

Please answer these questions

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒     S=rФ -------------where  r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒   When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. sin\frac{17\pi }{6} \\

we know π=180°

hence 17/6 π=?---------------cross multiply

\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

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The triangle is drawn and is shown in the image attached with.

We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same. 

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