The maximum value of tan θ is ___.

Explanation:

Trigonometric functions:

• Trigonometric functions also known as circular functions can be simply defined as the functions of an angle of a triangle.
• It means that the relationship between the angles and sides of a triangle is given by these trigonometric functions.
• The basic trigonometric functions are sine, cosine, tangent, cotangent, secant, and cosecant.

Tan θ:

• The Tan θ is the ratio of the Opposite side to the Adjacent, where θ is one of the acute angles.
• Tan 0°  = 0
• Tan 30° = \(\frac{1}{\sqrt{3}}\)
• Tan 45° = 1
• Tan 60° = \(\sqrt{3}\)
• Tan 90° = ∞