Question

Find the six trigonometric values for this angle.

Answer 1

Explanation:

Terminal arm of the angle passes through the point (-2, 11) = (x, y)

`r = \sqrt{ {x}^(2) + {y}^(2) } \\ = \sqrt{ {( - 2)}^(2) + {11}^(2) } \\ = √(4 + 121) \\ = √(125) \\ = 5 √(5) \\ \\ sin \beta = (y)/(r) = (11)/(5 √(5) ) \\ \\ cos\beta = (x)/(r) = ( - 2)/(5 √(5) ) = - ( 2)/(5 √(5) ) \\ \\ tan \beta = (y)/(x) = (11)/( - 2) = - (11)/(2) \\ \\ cosec \beta = (r)/(y) = (5 √(5) )/(11 ) \\ \\ sec\beta = (r)/(x) = (5 √(5))/( - 2) = - (5 √(5))/( 2) \\ \\ cot \beta = (x)/(y) = ( - 2)/( 11) = - (2)/(11)`