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Given that 19 cos x - 17 sin x = 0, find the exact value of tan x

Given that 19 cos x - 17 sin x = 0, find the exact value of tan x-example-1

1 Answer

9 votes

Answer: 19/17

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Work Shown:

19cos(x) - 17sin(x) = 0

19cos(x) = 17sin(x)

17sin(x) = 19cos(x)

sin(x) = 19cos(x)/17

sin(x)/cos(x) = 19/17

tan(x) = 19/17

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