Question

sinθ =4/9 then find cotθ​

Answer 1

Step-by-step explanation:

sin@ = 4 / 9 ----1

we know that identity

sin^2@ + cos^2@ = 1

cos^2@ = 1 - sin^2@

cos^2@ = 1 - ( 4 / 9 )^2

cos^2 @ = 1 - 16 / 81

cos^2@ = ( 81 - 16 ) / 81

cos^2@ = 65 / 81

taking square root both side

cos@ = root ( 65 ) / 9

cot@ = sin@ / cos@

cot@ = 4 / 9 / root ( 65 ) / 9

cot@ = 4 / root ( 65 )