Question

if sin Q = 1/3 then find the value of 2 cot Q

Answer 1

sin Q = 1/3
 
 so, cosec Q = 3
       so, cosec² Q = 9

so, 1 + cot² Q = cosec² Q
          hence cot² Q = 9-1 = 8
           so, cot Q = √8
            so, 2*cot Q = 2√8
                               = 4√2

Answer 2

sin=1/3
cosec= 3
cosec2= 9
cosec2= cot2+1
9= cot2+1
cot2=8
cot=√8
2cot= 2√8
2cot=4√2