Use the diagram shown to answer the question. What
are the sine and cosine values of a 60° angle?
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Answer: sin(60°)= [tex]\frac{\sqrt{3}} 2[/tex] and cos(60°)=[tex]\frac{1} 2[/tex]
Step-by-step explanation:
sine means opposite/hypothenus (SOH)
opposite=[tex]\frac{\sqrt{3}} 2[/tex] and hypothenus is 1
sin(60°) = [tex]\frac{\sqrt{3}} 2[/tex] ÷ [tex]\frac{1} 1[/tex]
= [tex]\frac{\sqrt{3}} 2[/tex] × [tex]\frac{1} 1[/tex]
= [tex]\frac{\sqrt{3}} 2[/tex]
cosine means adjacent/hypothenus (CAH)
adjacent= [tex]\frac{1} 2[/tex] and hypothenus is 1
cos(60°) = [tex]\frac{1} 2\\[/tex] ÷ [tex]\frac{1} 1[/tex]
= [tex]\frac{1} 2[/tex] × [tex]\frac{1} 1[/tex]
= [tex]\frac{1} 2[/tex]