Triangle ratios

Question

in righg triangle DEF, the measure of angle e is 90 Degrees, segment EF is equal to 24, segment DE is equal to 7 and segment DF is equal to 25

a) what are the ratios for cosecant,Secant, and cotangent

b) find all 6 ratios of angle F: sin, cos, tan, csc, sec, and cot. 

Answer 1

a) The ratios are: cosecant=hypotenuse/opposite

                             secant=hypotenuse/adjacent

                         cotangent=adjacent/opposite

b) angle F: sin=opposite/hypotenuse=DE/DF=25/7

                cos=adjacent/hypotenuse=EF/DF=24/25

                tan=adjacent/opposite=EF/DE=24/7

                csc=hypotensuse/opposite=DF/DE=25/7

                sec=hypotenuse/adjacent=DF/EF=25/24

                cot=adjacent/opposite=EF/DE=24/7