Question

Ayuda porfavor con o sin solucion

Answer 1

Explicación paso a paso:

1.-) tan 1200°

reescribimos el ángulo.

tan ( 180° 6 + ⅔ 180° )

tan (⅔ 180°) = tan (120°)

usamos identidad = sen / cos

sen(120°)

tan (120°) =‐------------------=

cos(120°)

sen(120°)= sen(30+90)

= sen30 × cos90 + cos30 × sen90

= ½ × 0 + ✔3/2 × 1

= ✔3/2

cos(120°) = cos(30+90)

= cos30 × cos90 – sen30 × sen90

= ✔3/2 × 0 – ½ × 1

= –½

✔3/2

tan(120°) = --------------= –✔3

–1/2

2.-) cos(240°)= cos(180+60)=

=cos180 × cos60 – sen180 × sen60

= (–1) × ½ – 0 × ✔3/2

= –½