Trigonometric Ratio

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Chapter 5: Trigonometric Function

luonut Yap Wei Li

The Map of Trigonometric Functions

luonut selina stinson

Edward De Bono's thinking hats

luonut Aly Vermont

Trigonometric Functions and all that Jazz

luonut Randy Stoneroad

Trigonometric Ratio

The CAST rule

C Quadrant

cosθ and secθ will be positive

A Quadrant

All trigonometric ratios and their corresponding reciprocal functions are positive.

T Quadrant

tanθ and cotθ will be positive

S Quadrant

sinθ and cscθ will be positive.

The special triangles

How to sketch an angle

Terminal Arm: the ray the defines the end of the angle

Initial Arm: the ray that defines the beginning of the angle.

An example

tan(11π/6)= -tan(π/6)= -1/√3

sec (5π/4) = -sec(π/4)= -√2