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Solve the trigonometry problem: Find the value of sin(30 degrees)
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Sagot :

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

[tex]\bullet \: \: \rm{sin= 30^{\circ}}[/tex]

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

Solve the trigonometry

[tex]\underline{\underline{\large{\red{\mathcal{SOLUTION:}}}}}[/tex]

Consider the [tex]\tt{\purple{30^{\circ} -60^{\circ} -90^{\circ} \: Right \: Triangle}}[/tex] in the given.

Which:

[tex]\bullet \: \: \rm{opposite=1}[/tex]

[tex]\bullet \: \: \rm{adjacent= \sqrt{3} }[/tex]

[tex]\bullet \: \: \rm{longest \: side= 2 }[/tex]

Remember, the trigonometric ratio or [tex]\tt{\purple{SOH-CAH-TOA}}[/tex]

[tex]\small{\boxed{ \bm{{ \red{ \sin \theta = \dfrac{opposite}{hypøtèńuse} }}}}}[/tex]

Substitute:

[tex]\tt{ \sin 30^{\circ} = \large{ \tt {\purple{\dfrac{1}{2} }}}}[/tex]

Final Answer:

[tex]\large{ \rm \sin = {\purple{\dfrac{1}{2} }}}[/tex]

View image MrChris