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

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

`cos(b ) = (8)/(17) \: \: \: \sec(b ) = (17)/(8) \\ \\ \tan(b) = (15)/(8) \: \: \: \cot(b) = (8)/(15) \\ \\ hope \: this \: is \: correct...`