If sec0+tan0=p, then find the value of cosec0.

Step-by-step explanation:

p=sec0+tan0

=1/cos0 + sin0/cos0

= (1+sin0) / cos0

square both sides

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

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

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

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

1+sin=p^2-p^sin

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

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

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

cosec=1/sin

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