Math, asked by yoyo3459, 9 months ago

If sec thetha + tan theta =p then tan theta is equal to

Answers

Answered by subham2020
0

Answer:

Given sec x + tan x = p .....(i)

We know that sec²x-tan²x=1

So (sec x + tan x)(sec x - tan x)=1

or p(sec x - tan x)=1

or sec x - tan x =(1/p) .....(ii)

Subtracting equation (i) by (ii)

we get,

tan x = (p²-1)/2p

If my answer satisfies you then give me thanks.

Answered by emilmathew5656
0

Answer:

for convinience i would like to write theta as x

we know that sec x + tan x = p

now 1/p = 1/(sec x + tan x)

also 1 = sec^2 x - tan^2 x = (sec x + tan x)(sec x - tan x)

thus 1/p = (sec x + tan x)(sec x - tan x)/(sec x + tan x)

ie: 1/p = sec x - tan x

so p - 1/p = 2 tan x

=> tan x = (p - 1/p)/2

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