If $sin x = 0.7$ , how do you list all possible value of x if $-180° < x < 180°$ ?

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If $sin x = 0.7$ , how do you list all possible value of x if $-180° < x < 180°$ ?

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Answer 1 · 2015-04-17T04:27:17

$sin x = 0.7$
First, calculator gives $x = 44.42 deg$ .
The trig unit circle gives another arc $x = 180 - 44.42 = 135. 58 deg$ , that has the same $sin$ value $(0.7)$ . Within the interval $(-180, +180)$ , there are 2 answers:
$x_1 = 44.42 deg$
$x_2 = 135.58deg$

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If $sin x = 0.7$ , how do you list all possible value of x if $-180° < x < 180°$ ?

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If sin x = 0.7sin x = 0.7, how do you list all possible value of x if -180° < x < 180°-180° < x < 180°?

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If $sin x = 0.7$ , how do you list all possible value of x if $-180° < x < 180°$ ?