Question

Express tan theta in terms of cosec theta

Answer 1

csc = 1/sin

so
sin = 1/ csc

sin^2 = 1/csc^2

cos^2 = 1 - sin^2 = 1 - 1/csc^2

so
tan^2 = sin^2/cos^2 = (1/csc^2)/[1-1/csc^2]

tan^2 = 1/[csc^2 - 1]

tan = sqrt (1/[csc^2 - 1] )

Answer 2

Or, more directly,

tan = 1/cot = 1/√(cot^2) = 1/√(csc^2-1)

Answer 3

1/root cosec^2theta-1

Answer 4

I want sec theta in terms of cosec theta

Answer 5

I am not getting the right answer from this . So don't waste our time🤐🤐

Answer 6

Very bad who solved this he is sense less fellow what is the question I asked and what is the answer given

Answer 7

Today i have an exam...you simply wasted my time....no process nothing...its a request from me that plz keep experienced teacher so that doubts of all children will be solved...am not opposing...whoever tried its good but there should be proper steps in the answer...plz follow my advice...then no one will give u negative comments...

Answer 8

tan theta = 1\ cot theta. tan theta = √1/cot² theta tan theta = √1/cosec² theta - 1 (W.K.T cosec² theta - cot² = 1, cot² theta = cosec² theta - 1) tan theta = √1/cosec² theta - 1