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If | tan x | = tan x + 1/cos x and x ∈[0,2 π], find the value of x.

If | tan x| = tan x + 1/cos x and x∈[0,2π], find the value of x.

Grade:12

1 Answers

jitender lakhanpal
62 Points
7 years ago

hi pavan

L.H.S is piecewise function in inteval [ 0 , 2 pie]

from the graph of tanx you will see there is no solution in [0 , pie/2] , [ pie ,3 pie /2]

as mod of tanx = tanx for these interval

and for interval other than given above

mod of tanx = - tanx

we get sinx = 1/2

x = 150 deg

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