Question

Why is Sin(0), Sin(180) and Sin(360) equal to 0?

Answer 1

[refer the attachment for the sin graph ]

$\boxed{\textbf{\large{Step-by-step explanation:}}}$

we know, the general solution of sin theta,

☑ general solution : the solution of trigonometric equation which are generalizeed by using it's periodicity are known as general solution.

because of the periodicity of sintheta, sin repeats it's value zero after a fix interval if the angle is nπ

sin Φ = 0 implies, Φ = nπ n€z

here we have given ,

Sin(0°), Sin(180°) and Sin(360°)

therefor the values of Φ are,

Φ = 0°= 0 x( π / 180)

= 0π

here value of n = 0

Φ = 180° = ( 180 x ( π / 180))

= 1π

here value of n = 1

Φ = 360° = ( 360 x ( π / 180 ))

= 2π

here value of n = 2

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