jr8297811
06.01.2021 •
Mathematics
Find the exact value of tan30⁰ × cos30⁰
give your answer in its simplest form
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Ответ:
ANSWER:
tan(30⁰)=√3/3
cos(30⁰)=√3/2
switch sides:sin(x) /√3/2 =√3/3
multiply both sides by 3:3·sin(x) /√3/2 =3·√3/3
simplify:2√3 sin (x) =√3
divide both sides by 2√3:2√3 sin (x) / 2√3 = √3 / 2√3
simplify:sin (x)= 1/2
Ответ: