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Why is the tangent of 45 equals 1?

Updated: 12/24/2022
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βˆ™ 14y ago

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Let's look at an right isosceles triangle (where the base angles measure 45 degrees, and legs are congruent). So that,

tan 45 degrees = leg/leg = 1

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βˆ™ 14y ago
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Q: Why is the tangent of 45 equals 1?
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Explain why the tangent of 45 equals 1?

Tangent is determined by the ratio of the side opposite the angle over the one adjacent to it. In a 45-45-90 triangle, the ratio of these sides is 1. This is because the side opposite one of the 45 degree angles is adjacent to the other, and vise versa.


Which angle has a tangent of 1?

The angle you seek is 45 degrees. The angle whose tangent is 1 can be written arctan(1) = 45 degrees.


Can the tangent ratio be equal to 1?

Yes. The tan of 45 degrees is 1.


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