6.2 Trigonometric Functions: Unit Circle Approach

Lecture

• Link

Lecture notes

1. The six Trigonometric Functions (general) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \sin{(\theta)} &= \frac{y}{r} & \csc{(\theta)} &= \frac{r}{y}\\[2ex] \cos{(\theta)} &= \frac{x}{r} & \sec{(\theta)} &= \frac{r}{x}\\[2ex] \tan{(\theta)} &= \frac{y}{x} & \cot{(\theta)} &= \frac{x}{y} \\[2ex] \end{align} }

2. The six Trigonometric Functions (unit circle) $r=1$

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\sin {(\theta )}&=y&\csc {(\theta )}&={\frac {1}{y}}\\[2ex]\cos {(\theta )}&=x&\sec {(\theta )}&={\frac {1}{x}}\\[2ex]\tan {(\theta )}&={\frac {y}{x}}&\cot {(\theta )}&={\frac {x}{y}}\\[2ex]\end{aligned}}}

Solutions

Mr. V solutions: 14, 32, 48, 78, 98, 112

Block #1

13 14 15 17 19

Block #2

31 32 33 35 37 39 41 43 45

Block #3

47 48 49 51 53 55 57 59 61 63

Block #4

77 78 79 81 83

Block #5

85 87 89 91 93

Block #6

95 97 98 99 101 103 105

Block #7

107 109 111 112 113 115