barryannmarie81 barryannmarie81

06-01-2021
Mathematics

contestada

find the exact value of tan30⁰ × cos30⁰
give your answer in its simplest form

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jadestephen jadestephen

06-01-2021

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

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