Question

Suppose ABC is a right triangle with sides​ a, b, and c and the right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. It is a right triangle

a=8 c=17

Answer 1

Answer:

$b= \sqrt{ {c}^{2} - {a}^{2} } \\ b = \sqrt{ {17}^{2} - {8}^{2} } \\ = \sqrt{289 - 64 } \\ = \sqrt{225 } \\ b = {15} \\ \\ \sin(b) = \frac{15}{17} \: \: \: \csc(b) = \frac{17}{15}$

$cos(b ) = \frac{8}{17} \: \: \: \sec(b ) = \frac{17}{8} \\ \\ \tan(b) = \frac{15}{8} \: \: \: \cot(b) = \frac{8}{15} \\ \\ hope \: this \: is \: correct...$