1. The area of a circle is 60 square units. What is the area of ...

Mathematics

1 answer:

AVprozaik [17]2 years ago

3 0

Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.

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Evaluate sin105° using the sum and differences identities underdstanding 105°=45°+60°

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$\bf \textit{Sum and Difference Identity}
\\\\
sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)\\\\
-------------------------------\\\\
sin(45^o+60^o)\implies sin(45^o)cos(60^o)+cos(45^o)sin(60^o)
\\\\\\
\cfrac{\sqrt{2}}{2}\cdot \cfrac{1}{2}+\cfrac{\sqrt{2}}{2}\cdot \cfrac{\sqrt{3}}{2}\implies \cfrac{\sqrt{2}}{4}+\cfrac{\sqrt{6}}{4}\implies \cfrac{\sqrt{2}+\sqrt{6}}{4}$

check your Unit Circle for those angles.

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Step-by-step explanation:

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Step-by-step explanation:

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