Find cot0 given cos0=2/7 and the terminal side is in quadrant IV

0.2985

Step-by-step explanation:

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Given

cos theta  = 2/7

theta = arccos(2/7)

theta = 73.40 degrees

cot theta = cot73.40

cot73.40 = 1/tan73.40

cot73.40 = 1/3.35

cot73.40 = 0.2985

hence the required answer is 0.2985

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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step-by-step explanation: