Question

find the value of sin (1485 degrees)​

Answer 1

Answer:

Remove full rotations of

360

° until the angle is between

0

° and

360

°.

sin

(

45

)

The exact value of

sin

(

45

)

is

√

2

2

.

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

2

Decimal Form:

0.70710678

…

Answer 2

Concept:

The ratio of the length of the side of the triangle opposite the angle to the length of the triangle's hypotenuse is called the sine of one of the angles of a right triangle (commonly abbreviated "sin").

Find:

Find the value of $sin (1485\°)$.

Solution:

$sin (1485\°)$

$=sin (1440\°+45\°)$

$=sin (360\°*4+45\°)$

$=sin (2n\pi +45\°)$

$=sin (45\°)$

( ∵ sin(2nπ + θ) = sinθ )

$=\frac{1}{\sqrt{2} }$

Hence,

$sin (1485\°)=\frac{1}{\sqrt{2} }$

The exact value of $sin (1485\°)$ in decimal form is $0.7071067812.$