Definitions and Graphs of Trigonometric Functions

Definitions and Graphs of Trigonometric Functions

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.

Cosine Function

y = cos x , -1 ≤ cos x ≤ 1.

Tangent Function

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

Cotangent Function

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

Secant Function

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

Cosecant Function

Y = cosec x , x ≠ k $\pi$ .