Math Doubts

$\sin{(0^°)}$ value

$\sin{(0^°)} \,=\, 0$

The value of sine in a zero degrees right triangle is called the sine of angle zero degrees.

Introduction

The sine of angle zero degrees is a value that represents the quotient of length of opposite side by the length of hypotenuse when the angle of a right triangle is zero degrees.

In the Sexagesimal system, the sine of angle zero degrees is written as $\sin{(0^°)}$. The exact value of sine of angle zero degrees is equal to zero. It is written in mathematical form as follows in trigonometry.

$\sin{(0^°)} \,=\, 0$

The sine of angle zero degrees is also written in two other forms in mathematics.

circular system

The sine of zero degrees is expressed as sine of zero radian. It is written in mathematical form as $\sin{(0)}$ in circular system.

$\sin{(0)} \,=\, 0$

Centesimal system

Similarly, the sine zero degrees is also expressed as sine of angle zero grades. It is written in mathematical form as $\sin{(0^g)}$ in Centesimal system.

$\sin{(0^g)} \,=\, 0$

Proofs

The exact value of sine of zero degrees can be derived possibly in two different methods in mathematics.

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