Explicación paso a paso:
a)
[tex] \sin(60) = \frac{a}{1}[/tex]
[tex]a = \frac{ \sqrt{3} }{2} = 0.866[/tex]
b)
[tex] \sin(60) = a = 0.866[/tex]
[tex] \cos(60) = \frac{ \frac{1}{2} }{1} = \frac{1}{2} = 0.5[/tex]
[tex] \tan(60) = \frac{a}{ \frac{1}{2} } = 2a = \sqrt{3} = 1.732[/tex]
[tex] \cot(60) = \frac{1}{ \tan(60) } = \frac{1}{ \sqrt{3} } = 0.577[/tex]
[tex] \sec(60) = \frac{1}{ \cos(60) } = \frac{1}{ \frac{1}{2} } = 2[/tex]
[tex] \csc(60) = \frac{1}{ \sin(60) } = \frac{2}{ \sqrt{3} } = 3.464[/tex]
c)
[tex] \sin(30) = \frac{ \frac{1}{2} }{1} = \frac{1}{2} = 0.5[/tex]
[tex] \cos(30) = \frac{a}{1} = \frac{ \sqrt{3} }{2} = 0.866[/tex]
[tex] \tan(30) = \frac{ \frac{1}{2} }{a} = \frac{ \frac{1}{2} }{ \frac{ \sqrt{3} }{2} } = \frac{1}{ \sqrt{3} } = 0.577[/tex]
[tex] \cot(30) = \sqrt{3} = 1.732[/tex]
[tex] \sec(30) = \frac{1}{ \cos(30) } = \frac{2}{ \sqrt{3} } = 1.155[/tex]
[tex] \csc(30) = \frac{1}{ \sin(30) } = \frac{1}{ \frac{1}{2} } = 2[/tex]
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Verified answer
Explicación paso a paso:
a)
[tex] \sin(60) = \frac{a}{1}[/tex]
[tex]a = \frac{ \sqrt{3} }{2} = 0.866[/tex]
b)
[tex] \sin(60) = a = 0.866[/tex]
[tex] \cos(60) = \frac{ \frac{1}{2} }{1} = \frac{1}{2} = 0.5[/tex]
[tex] \tan(60) = \frac{a}{ \frac{1}{2} } = 2a = \sqrt{3} = 1.732[/tex]
[tex] \cot(60) = \frac{1}{ \tan(60) } = \frac{1}{ \sqrt{3} } = 0.577[/tex]
[tex] \sec(60) = \frac{1}{ \cos(60) } = \frac{1}{ \frac{1}{2} } = 2[/tex]
[tex] \csc(60) = \frac{1}{ \sin(60) } = \frac{2}{ \sqrt{3} } = 3.464[/tex]
c)
[tex] \sin(30) = \frac{ \frac{1}{2} }{1} = \frac{1}{2} = 0.5[/tex]
[tex] \cos(30) = \frac{a}{1} = \frac{ \sqrt{3} }{2} = 0.866[/tex]
[tex] \tan(30) = \frac{ \frac{1}{2} }{a} = \frac{ \frac{1}{2} }{ \frac{ \sqrt{3} }{2} } = \frac{1}{ \sqrt{3} } = 0.577[/tex]
[tex] \cot(30) = \sqrt{3} = 1.732[/tex]
[tex] \sec(30) = \frac{1}{ \cos(30) } = \frac{2}{ \sqrt{3} } = 1.155[/tex]
[tex] \csc(30) = \frac{1}{ \sin(30) } = \frac{1}{ \frac{1}{2} } = 2[/tex]