Find the values of the indicated functions Given tan 1548 f

Find the values of the indicated functions.

Given tan = 1.548, find cot and sec .

COT=

SEC=

Solution

Given tan = 1.548, find cot and sec .

but tan = 1/cot

1.548 = 1/cot

cot = 1/1.548

= 0.646

now another identity sec^2 - tan^2 =1

so we know tan plug in this equation

sec^2 - (1.548)^2 =1

sec^2 = 1 +2.396

sec^2 = 3.396

sec = 1.843

COT =0.646

SEC=1.843