Question

If cot theta =40/9,find the value of cosec theta and sin theta?​

Answer 1

Answer:

The value of cosecФ is 41/9 and sinФ = 9/41

Step-by-step explanation:

Given;

cotФ = 40/9

As we know ;

$cosec^{2}$Ф= 1+$cot^{2}$Ф

             = 1 + $(40/9)^{2}$

             = 1 + (1600/81)

            = 1681/81

 cosecФ=$\sqrt{(1681/81)}$

              = 41/9

Also we know that ,

sinФ = 1/cosecФ

       = 1/ (41/9)= 9/41