Question

Sin(3pi/4) what is it

Answer 1

The answer to this question is sqrt(2)/2. Invoke the unit circle to derive this expression, or use special triangles and reference triangles.

Answer 2

Answer:

$sin(\frac{3 \pi}{4})=\frac{\sqrt{2} }{2}$

Step-by-step explanation:

The given expression is

$sin(\frac{3 \pi}{4})$

Now, we know that $\pi = 180\°$, replacing this value, we have

$sin(\frac{3(180\°)}{4})=sin(135\°)$

Now, this angle is located in the quadrant II, this means that the result must be positive.

To find the answer of this, we have to use the table attached, which the special angles. However, 135° is not in the table, that's because we have to look for 180-135=45°.

So, according to the given table we have

$sin(135\°)=\frac{\sqrt{2} }{2}$

Therefore,

$sin(\frac{3 \pi}{4})=\frac{\sqrt{2} }{2}$