Question

(1)Let us express coseco and tanO in term of sino.
(2) Let us write coseco and tan in term of cose.​

Answer 1

Answer:

1. cosec x = 1/Sin x

tan x = sin x/ sqrt(1-sin^2 x)

2. cosec x = 1/sqrt(1-cos^2 x)

tan x = sqrt(1-cos^2 x) / cos x

Step-by-step explanation:

1. we know that cosec x = 1/sin x

also,

using identity sin^2x+ cos^2x =1

hence

cos x = sqrt(1-sinx) {sqrt means sqaure root}

therefore tanx = Sin x /Sqrt(1-sin^2 x)

[ since tan x = sinx/cos x]

2. using same identity,

sinx = sqrt (1-Cos^2 x)

cosec x =1/sqrt (1-cos^2 x)

tan x= sqrt(1-cos^2 x)/cos x