Mathematics, 02.08.2019 06:00 janeou17xn

What is two angles measuring $\pi /8$ and $7\pi/8$ radians?

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Answers:
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Question 1) "22.5° " .
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Question 2) "157.5° " .
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Note of interest: "22.5° + 157.5° = 180° " .
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Explanation:
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To convert from "radians" to "degrees" , we multiply the:

"value in radians" by "180/ $\pi$ "
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Question 1) (π/8) * (180/π) = ?

Both of the "π" values cancel out to "1" {since "π/π = 1" } ;

and the "180" changes to "45" ; and the "8" changes to "2" ;

→ since "(180/8)" = "(180÷4) / (8÷4) = 45/2 ;

→ So we have: "45/2" ;

→" 45/2 = 45/ 2 = 22.5 degrees.

The answer is: 22.5° .
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Question 2) Convert " (7π /8)" to degrees .

Note: "(7π /8)" = 7 * (π/8) " .

We know that "(π/8)" in degrees is: 22.5° (from question #1).

Multiply this value by "7", to get the answer.

22.5° (7) = 157.5° .

The answer is: 157.5° .

Isn't math fun, sometimes??
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What is two angles measuring [tex] \pi /8[/tex] and [tex] 7\pi/8[/tex] radians?...

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Mathematics, 24.01.2021 23:20

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