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 = [tex]\sqrt{2}[/tex]
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° = [tex]\frac{Perpendicular}{Base}[/tex]
Tan 45° = [tex]\frac{1}{1}[/tex]
Tan 45° = 1
Hence, The tangent of 45° is 1 .
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