limit as x approaches 20 of sin(70-x)

Let's evaluate the limit of

\sin (70 - x)

when

x \to 20

ⓘ The limit of a sum of finite limits is the sum of the limits

The limit of

70 - x

70 - 20

when

x \to 20

⇥Let's calculate:

70 - 20

⇥ⓘ Start from

70

and move back

20

on the number line:

70 - 20

50

⇥

50

ⓘ The function sin is continuous, its limit is its value at the limit of its argument

So the limit of

\sin (70 - x)

\sin (50)

when

x \to 20

▶Limit:

\sin (50)

The numeric value of:

\sin (50)

is:

ⓘ The sine is the y-coordinate (vertical axis) of the point reached on the unit circle after a rotation of

50

radians from the horizontal axis pointing to the right

▷

\approx -0.2624