Question

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

Answer 1

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.

What is an angle?

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