Question

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

Answer 1

Answer:

C

Step-by-step explanation:

tan45° = $\frac{opposite}{adjacent}$ = $\frac{1}{1}$ = 1

Answer 2

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 = $\sqrt{2}$

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° = $\frac{Perpendicular}{Base}$

Tan 45° = $\frac{1}{1}$

Tan 45° = 1

Hence, The tangent of 45° is 1 .

To know more about trigonometric ratios here:

https://brainly.com/question/1201366

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