Definitions and Graphs of Trigonometric Functions

Definitions and Graphs of Trigonometric Functions

Trigonometric

 

 

1. sin\alpha  = \frac{y}{r}
 

2. con\alpha  = \frac{x}{r}
 

3. tan\alpha  = \frac{y}{x}
 

4. cot\alpha  = \frac{x}{y}
 

5. sec\alpha  = \frac{r}{x}
 

6. cosec\alpha  = \frac{r}{y}

 

Sine Function

y =  sin x, – 1 ≤ sin x ≤ 1.

Sine

 

Cosine Function

y = cos x , -1 ≤ cos x ≤ 1.

Cosine

 

Tangent Function

y =  tan x , x  ≠(2k + 1)\frac{\pi}{2}, – ∞  ≤ tan x ≤ ∞ .

Tangent

 

 

Cotangent Function

Y = cot x , x ≠ k\pi , – ∞ ≤ cot x ≤ ∞.

 

Cotangent

 

 

Secant Function

Y = sec x , x ≠ (2k + 1)\frac{\pi}{2}.

Secant

 

Cosecant Function

Y = cosec x , x ≠ k \pi.

Cosecant

 

 

 

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