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.

More Answers:
How to find the value of cos 30° using trigonometric functions and Pythagorean theorem – A Step-by-Step Guide
Understanding the Cosine Function: Why the Value of cos 0° is 1
Learn the Value of tan 60° – Simplify Your Math Calculations with √3.

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »