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

Question

asked Apr 10, 2019 130k views

2 Answers

Mcqwerty · Answer 1 · 2019-04-12T16:57:10+0000

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.

$What is the exact value of sin 45° ? Enter your answer, as a simplified fraction, in-example-1$

Macrozone · Answer 2 · 2019-04-16T05:47:25+0000

Answer: The exact value of sin 45° is

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