Question

(40.) If sec 0 + tan 0 = p, then find the value of cosec 0.​

Answer 1

Step-by-step explanation:

sec + tan = p

1/cos + sin /cos = p

(sin +1)/cos = p

(sin + 1)^2 /(1 - sin)^2 = p^2

(sin + 1)/ ( 1 - sin ) = p^2

sin + 1 = p^2 - p^2sin

sin + p^2 sin = p^2 -1

sin (1 + p^2) = p^2 - 1

sin = (p^2 -1) / (1+p^2)

cosec = (1 +p^2)/ (1 - p^2)