Question

What is the exact value of sin 45° ? Enter your answer, as a simplified fraction, in the box.

Answer 1

radical 2/2
I attached the unit circle. Sin=y, so you can go to the unit circle, find 45 degrees, and the answer is the y-coordinate at 45 degrees.

Answer 2

Answer: The exact value of sin 45° is
`(√(2))/(2)`

Explanation:

Since we have given that

`\sin 45^\circ`

We need to find the exact value of sin 45°.

From the trigonometric table,

`\sin 45^\circ=(1)/(√(2))`

We need to write it as a simplified fraction,

So, for this, we will rationalize the denominator:

`(1)/(√(2))* (√(2))/(√(2))\\\\=(√(2))/(2)`

Hence, the exact value of sin 45° is
`(√(2))/(2)`