Question

Find cot theta. (-6,-3sqrt(5)

Answer 1

0 Pretend that is theta XD

cot 0 =
`(1)/(tan0)`

Find tan 0.

tan 0 =
`(y)/(x)`

tan 0 =
`(-3√(5))/(-6)`

tan 0 =
`(√(5))/(2)`

cot 0 =
`(1)/(tan0)`

cot 0 =
`(1)/((√(5) )/(2) )`

Multiply 2/√5 to the numerator and the denominator (or multiply the reciprocal of the denominator to the top and bottom of the fraction)

cot 0 =
`(1)/((√(5))/(2) ) (((2)/(√(5)) )/((2)/(√(5))) )`

cot 0 =
`(2)/(√(5))`

Multiply √5 to the numerator and the denominator

cot 0 =
`(2)/(√(5)) ((√(5) )/(√(5) ))`

cot 0 =
`(2√(5))/(5)`