6.2 Trigonometric Functions: Unit Circle Approach

Lecture

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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 (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\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{aligned}}}

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

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)} &= y & \csc{(\theta)} &= \frac{1}{y}\\[2ex] \cos{(\theta)} &= y & \sec{(\theta)} &= \frac{1}{x}\\[2ex] \tan{(\theta)} &= \frac{y}{x} & \cot{(\theta)} &= \frac{x}{y} \\[2ex] \end{align} }

Solutions

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

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