(Solved): 15-1: Trigonometric Functions of Any Angle Given below are six trigonometric functions \\( \\operat ...

15-1: Trigonometric Functions of Any Angle Given below are six trigonometric functions \\( \\operatorname{sine} \\theta: \\sin \\theta=\\frac{y}{r}=\\frac{\\text { opposite }}{\\text { hypotenuse }} \\) \\( \\operatorname{cosecant} \\theta: \\csc \\theta=\\frac{1}{\\sin \\theta}=\\frac{r}{y}=\\frac{\\text { hypotenuse }}{\\text { opposite }} \\) cosine \\( \\theta: \\cos \\theta=\\frac{x}{r}=\\frac{\\text { adjacent }}{\\text { hypotenuse }} \\) secant \\( \\theta: \\sec \\theta=\\frac{1}{\\cos \\theta}=\\frac{r}{x}=\\frac{\\text { hypotenuse }}{\\text { adjacent }} \\) \\( \\operatorname{tangent} \\theta: \\tan \\theta=\\frac{y}{x}=\\frac{\\text { opposite }}{\\text { adjacent }} \\) \\( \\operatorname{cotangent} \\theta: \\cot \\theta=\\frac{1}{\\tan \\theta}=\\frac{x}{y}=\\frac{\\text { adjacent }}{\\text { opposite }} \\) Exercise: 1. Skatch the angle and write the six trigonometric function if the teminal side of the argle prses though the given poirt of \\( (-7,12) \\) 2. Find \\( \\tan \\theta \\) and \\( \\csc \\theta \\), given \\( \\cos \\theta=-\\frac{5}{13} \\), given \\( \\theta \\) is in Quadrant 3 3. Find \\( \\cot \\theta \\) and \\( \\sec \\theta \\), given \\( \\csc \\theta=-\\frac{25}{7} \\), given \\( \\theta \\) is in Quadrant 4