Trigonometry functions for a positive acute angle

Question

Questions:

Trigonometry functions for a positive acute angle

1. Express each of the following trigonometric functions in terms of the same function of a positive acute angle.

                     i)  sin170^o

                     ii) tan- 50^o

                     iii) sin300^o

                     iv) cos210^o

2. (a) Convert to radians, expressing your answers as a multiple of pi .

                     i) 36^o

                     ii) 150^o

    (b) Convert to degrees

                     i) ∏/7 radians

                     ii) 2∏/9 radians

3. Find values for Θ for 0<Θ<2∏. (Answers should be in radians)

                     sinΘ = 0.1045

                     cosΘ = -0.8650

                     tanΘ = -1.683, cosΘ<0

                     cotΘ = 1.196

4. A horizontal section of a circular pipe is 12.2 m in length and has an inside diameter of 1.22 m. The depth of fluid in the pipe, measured at the deepest point, is 0.305 m. Calculate the volume of fluid in this section of the pipe.