Question

cosec(90°-theta)=2/3 then tan theta​

Answer 1

Answer-

tan theta = √5/2

Explanation-

cosec (90-theta) =2/3

since, cosec(90-theta)= sec theta

therefore, sec theta=2/3

draw a triangle in which hypotenuse is 3 , and base is 2. since, sec theta = hypotenuse/ base

Now, from Pythagoras theorem, h²= p²+b²

so, putting the values we get perpendicular = √5

now from tan theta =perpendicular /base

so, tan theta =√5/2