Find the value of cos-1 (cos 2pi / 3 ) + sin-1 ( sin 2pi/3 )

cos-1cos2π3+sin-1sin2π3=cos-1-12+sin-132

=π-cos-112+sin-132=π-cos-1cosπ3+sin-1sin2π3

=π-π3+2π3 =4π3

  • -49

Cos inv. ( cos2pi/3) + sin inv. (sin 2pi/3) = cos inv. (cos 2pi/3) + sin inv. (sin pi - pi/3) =. 2pi/3 + sin inv. ( sin pi/3) = 2pi/3 + pi/3 = pi

  • 30

Thank you

  • 13
What are you looking for?