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love history [14]
2 years ago
9

Haruto simplified the value below. Cosecant (StartFraction 19 pi Over 4 EndFraction) = StartRoot 2 EndRoot Which statement expla

ins whether Haruto is correct? Haruto is correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction and the reference angle is StartFraction pi over 4 EndFraction. Haruto is correct because the angle is coterminal with StartFraction pi Over 4 EndFraction, which is also the reference angle. Haruto is not correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction, and Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartFraction negative 1 Over StartRoot 2 EndRoot EndFraction = StartFraction negative StartRoot 2 EndRoot Over 2 EndFraction. Haruto is not correct because the angle is coterminal with StartFraction pi over 4 EndFraction, and Cosecant (StartFraction pi Over 4 EndFraction) = StartFraction 1 Over StartRoot 2 EndRoot EndFraction = StartFraction StartRoot 2 EndRoot Over 2 EndFraction.
Mathematics
1 answer:
docker41 [41]2 years ago
6 0

If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The expression is given below.

\rm cosec \ \dfrac{19\pi}{4} =\sqrt2

The angle is 19π/4.

Coterminal angle - The angles in a standard position that have a common terminal side.

Then we have

\Rightarrow  \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow  \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow  \dfrac{3\pi}{4}

More about the angled link is given below.

brainly.com/question/15767203

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Step-by-step explanation:

Given the following data;

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