In the triangle, what is sin 45 degrees? Give your answer in simplest radical form.

start to calculate the value for sin 45 degrees table of trigonometry. In the same way, we can find the values for other trigonometry ratios such as cosine and tangent.

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-07-15T05:37:37+02:00

The value of sin 45 is 1/ √2

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint.

As per the diagram,

AC= 1 unit, BC= 1 unit

Applying Pythagoras theorem,

AB² = AC² + BC²

AB² = 1²+ 1²

AB² = 2

AB= √2

Now, sine is the ratio between the opposed side and the hypothenuse.

So, sin 45 = 1/ √2 = √2/√2

In radical form = 0.7071

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