Question

if sin theta is equal to 1 by 3 then find the value of 2 cot squared theta + 2

Answer 1

sin@ = 1/3

then

2cot²@ + 2,

2(cot²@+1),

2×cosec²@, [since cot²@+1=cosec²],

2 × 1/sin²@, [ since cosec@ = 1/sin@],

2 × (3/1)²

2 × 9,

18

Answer 2

Answer:

18

Step-by-step explanation:

sin @ =1/3

that implies (perp)/(hypo) =1/3

we know (hypo)^2=(perp)^2 + (base)^2    (Pythagoras)

from here base = under root (8)

this implies cot @=under root (8)

hence the foolowing value =18