Question

Find the value of tan x, if sec X + tanx = 3​

Answer 1

Answer:

tan x=4/3

Step-by-step explanation:

we know sec^2x-tan^2x=1

(sec x+tan x)(sec x-tan x)=1   given (sec x+tan x=3)-------(1)

so (sec x-tan x=1/3)--------(2)

 (1)-(2)

2tan x=3-1/3 which equals

2 tan x= 8/3

so tan x=8/6 which equals

tan x=4/3

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