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Sever21 [200]
3 years ago
13

Find the measure of angle y. Round your answer to the nearest hundredth.

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

check the picture below.

sleet_krkn [62]3 years ago
5 0

Answer:

y=35.67

Step-by-step explanation:

From the given diagram , the hypotenuse is 12 and length of opposite side is 7

sin(theta)=\frac{opposite}{hypotenuse}

opposite is 7 and hypotenuse is 12

sin(y)=\frac{7}{12}

To find out y, we move sin to the other side

y=sin^{-1}(\frac{7}{12})

y=35.68533

y=35.67

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The trigonometry illustrates that the four angles whose cosine is the same as cos pi/3 will be 7∏/3, 13∏/3, 19∏/3, and 31∏/3

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From the information, given cos (x), the value that is similar to cos x will be the sum of the angle and multiple of 360.

Therefore, for the angle cos(∏/3), the angles that are similar to this angle will be expressed as Cos(2∏n + ∏/3) where n is any positive integer.

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