Question

In a right triangle, θ is an acute angle and csc = 19/18. Evaluate the other five trigonometric functions of θ.

Answer 1

`\csc( \theta) = (19)/(18) \\ (1)/( \sin( \theta) ) = (19)/(18) \\ \sin( \theta) = (18)/(19) \\ \theta = { \sin }^( - 1) ( (18)/(19) ) \\ \theta = 71.3 \degree, \: 108.7 \degree, \: 288.7 \degree, \: 468.7 \degree, \: 648.7 \degree`