Question

converta em radiano 60*,45*,210*,300*,120*,150*,270*,135*

Answer 1

60° - x rad
180° - $\pi rad$
180°x = 60°$\pi rad$
x =60°$\pi rad$/180°  rad
x = 1/3° $\pi rad$

45° - x rad
180°x rad = 45° $\pi rad$
x = 45°$\pi rad$/180° rad
x = 1/4 $\pi rad$

210° - x rad
180° - $\pi rad$
180°x rad = 210° $\pi rad$
x= 210°$\pi rad$/180°x rad
x= 21°$\pi rad$/18° rad
x = 7/6° $\pi rad$

300 - x rad
180° - $\pi rad$
180°x rad = 300° $\pi rad$
x = 300°$\pi rad$/180° rad
x = 30/18° $\pi rad$
x = 5/3° $\pi rad$

120° - x rad
180° - $\pi rad$
180x rad = 120$\pi rad$
x = 120° $\pi rad$/180° rad
x = 2/3° $\pi rad$

150° - x rad
180° - $\pi rad$
180°x rad = 150° $\pi rad$
x = 150° $\pi rad$/180° rad
x = 5/6° $\pi rad$

270° - x rad
180° - $\pi rad$
180°x rad = 270° $\pi rad$
x = 270° $\pi rad$/180° rad
x = 9/6° $\pi rad$
x = 3/2° $\pi rad$

135° - x rad
180° - $\pi rad$
180°x rad = 135° $\pi rad$
x = 135° $\pi rad$/180° rad
x = 3/4° $\pi rad$

Answer 2

Em radiano, temos:

60° = π/3

45° = π/4

210° = 7π/6

300° = 5π/3

120° = 2π/3

150° = 5π/6

270° = 3π/2

135° = 3π/4

Explicação:

Para converter graus em radianos, basta multiplicarmos o valor por π/180°.

60° x π =

        180°

60π = π

180      3

45° x π =

        180°

45π = π

180      4

210° x π =

        180°

210π = 7π

180       6

300° x π =

          180°

300π = 5π

180       3

120° x π =

         180°

120π = 2π

180       3

150° x π =

         180°

150π = 5π

180       6

270° x π =

          180°

270π = 3π

180       2

135° x π =

         180°

135π = 3π

180       4

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