In the triangle below, what is the tangent of 45°?

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Question:

In the triangle below, what is the tangent of 45°?

Answer:

The tangent of 45° is 1 .

What is trigonometric ratios ?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

  • sin θ = Perpendicular/Hypotenuse
  • cos θ = Base/Hypotenuse
  • tan θ = Perpendicular/Base
  • sec θ = Hypotenuse/Base
  • cosec θ = Hypotenuse/Perpendicular
  • cot θ = Base/Perpendicular

According to the question

Hypotenuse of the right angled triangle =

Perpendicular of the right angled triangle = 1

Base of the right angled triangle = 1

Now,

Tan 45°

By using trigonometric ratios

tan θ = Perpendicular/Base

Tan 45° =

Tan 45° =

Tan 45° = 1

Hence, The tangent of 45° is 1 .

To know more about trigonometric ratios here:

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