Answer :
These are the important trigonometric relations to base on:
cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
Following these properties, we could simplify the equation and input into the calculator to determine the exact value.
tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1
sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1
cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
Following these properties, we could simplify the equation and input into the calculator to determine the exact value.
tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1
sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1