Find all solutions of the equation in the interval 0 2 pi If

Find all solutions of the equation in the interval [0, 2 pi). If there is no solution, enter No solution.) 9 sec x + 9 tan x = 9

Solution

9sec x + 9 tanx=9

sec x + tanx=1

(1/cosx) + (sinx/cosx)-1=0

1 + sinx - cos x=0

And - cos x + sin x= sqrt2 cos (pi/4   + x)

1 - sqrt2 cos(pi/4 + x)=0

sqrt cos(pi/4 + x)=1

cos (pi/4 + x)=1/sqrt2

pi/4 + x=pi/4 + 2pi n

x= 2pi n

In [0,2pi)

x= 0

 Find all solutions of the equation in the interval [0, 2 pi). If there is no solution, enter No solution.) 9 sec x + 9 tan x = 9Solution9sec x + 9 tanx=9 sec x

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