Discovering the Value of Tangent 45 Degrees: Mathematical Formula and Proof

tan 45°

1

The value of tangent of 45 degrees is equal to 1.

We can also show this mathematically using the following formula:

tan θ = sin θ / cos θ

When θ = 45 degrees, sin θ = cos θ = √2 / 2

So,

tan 45° = sin 45° / cos 45°

tan 45° = (√2 / 2) / (√2 / 2)

tan 45° = 1

Therefore, the value of tangent of 45 degrees is 1.

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