Question

if cosec q + cot q=52 then find value of tan q​

Answer 1

Answer:cosec a + cot a = 5/2

Cosec^2 a + cot^2 a + 2cosec a. Cota =25/4

Using formula cosec^2 a= 1+cot^2 a,

Cot^2 a +1+ cot^2a + 2coseca. Cot a= 25/4

Rearranging:

2cot a(cot a + cosec a) = 21/4

Substituting cot a+ cosec a = 5/2,

2cot a. 5/2=21/4

Cot a = 21/20

Hence tan a = 20/21

Step-by-step explanation: