If sin α = 3/5, then tan α = ?

Concept:

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 α is the ratio of the Opposite side to the Adjacent, where α is one of the acute angles.
• tan 0°  = 0
• tan 30° = 
• tan 45° = 1
• tan 60° = 
• tan 90° = ∞

Calculation:

Given:

∵ sin α = 3/5

And sin² α + cos² α = 1

⇒ cos2 α =  = 

⇒ cos α = 

∵ tan α =  = 

Additional Information
tan α:

• The tan α is the ratio of the opposite side to the adjacent side.

tan α = 

sin α:

• The sin α is the ratio of the opposite side to the hypotenuse.

sin α = 

cos α:

• The cos α is the ratio of the adjacent side to the hypotenuse, where α is one of the acute angles.

cos α =