The angles between 0° and 236.310° so that tangent is 1.5 are approximately 56.310° and 236.310°.
The angles between 0° and 236.310° so that sine is 0.3 are approximately 17.458° and 162.542°.
The angles between 0° and 236.310° so that cosine is 0.82 are approximately 34.915° and 325.085°.
In this question we must determine the quadrants and angles which gives the given results on statement:
Tangent is a function with a periodicity of 180°, with positive values on the 1st and 3rd Quadrants. Hence, we have the following solutions:
[tex]\theta_{1} \approx 56.310^{\circ}[/tex], [tex]\theta_{2} \approx 236.310^{\circ}[/tex]
The angles between 0° and 236.310° so that tangent is 1.5 are approximately 56.310° and 236.310°. [tex]\blacksquare[/tex]
Sine is a function with a periodicity of 360°, with positive values on the 1st and 2nd Quadrants. Hence, we have the following solutions:
[tex]\theta_{1}\approx 17.458^{\circ}[/tex], [tex]\theta_{2}\approx 162.542^{\circ}[/tex]
The angles between 0° and 236.310° so that sine is 0.3 are approximately 17.458° and 162.542°. [tex]\blacksquare[/tex]
Cosine is a function with a periodicity of 360, with positive values on the 1st and 4th Quadrants. Hence, we have the following solutions:
[tex]\theta_{1} \approx 34.915^{\circ}[/tex], [tex]\theta_{2}\approx 325.085^{\circ}[/tex]
The angles between 0° and 236.310° so that cosine is 0.82 are approximately 34.915° and 325.085°. [tex]\blacksquare[/tex]
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