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Grade 10 Math Lab: Proof & Generalization FREE

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Tangent Function & Identities

60 min Grade 10 Math Lab: Proof & Generalization

Learning Objectives

  • Graph tangent function
  • Find asymptotes
  • Apply quotient identity

Key Concepts

Tangent

tan(θ) = sin(θ)/cos(θ) = opposite/adjacent

Asymptote

tan is undefined where cos(θ) = 0

Theory

**tan(θ) = sin(θ)/cos(θ)** **Properties:** - Period: π (180°) - Undefined at θ = 90° + 180°n - Passes through origin - Range: all real numbers **Key values:** - tan(0°) = 0 - tan(45°) = 1 - tan(60°) = √3 - tan(90°) = undefined

Examples

Find tan(45°)

Solution: tan(45°) = sin(45°)/cos(45°) = 1