Question #8cac5

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Answer 1 · 2018-02-16T10:20:45

$x = {59.04}^{\circ}, {300.96}^{\circ}$ $color(blue)(x=59.04^@,300.96^@$

$3 (sin x - cos x) = 2 cos x$ $3(sinx-cosx)=2cosx$

$3 sin x - 3 cos x = 2 cos x$ $3sinx-3cosx=2cosx$

$3 sin x = 5 cos x$ $3sinx=5cosx$

$\frac{3}{5} tan x = 1$ $3/5tanx=1$

$tan x = \frac{5}{3}$ $tanx=5/3$

$x = arctan (tan x) = arctan (0) \Rightarrow x = {59.04}^{\circ}, {300.96}^{\circ}$ $x=arctan(tanx)=arctan(0)=>color(blue)(x=59.04^@,300.96^@)$