Question

Calcule o valor destas expressões:
a) 4.cos 6pi-sen 3pi + tan 7pi
b) tg 11pi\4 - cos 17pi\6 - sen 22pi\3

Answer 1

a) 4*cos(6π) - sen(3π) + tg(7π) = 4

cos(6π) = cos 0 = 1

sen(3π) = sen π = 0

tg(7π) = tg 0 = 0

4*1-0+0 = 4*1 = 4

b) tg(11π/4) - cos(17π/6) - sen(22π/3) = -1√3

tg(11π/4) = tg(3π/4 + 2π) = tg (3π/4) = -1

cos(17π/6) = cos(5π/6 + 2π) = cos(5π/6) = -√3 / 2

sen(22π/3) = sen(4π/3 + 2*3π) = sen (4π/3) = -√3 / 2

-1 - (-√3 / 2) - (-√3 / 2) = -1+√3 / 2+√3 / 2 = -1+√3