Question

(FCC) Seja a função f, definida por f(x) = sen x + cos x + cotg x + cossec x – tg x – sec x, e k Z.

O valor de f(60°) é

Answer 1

f(60º) = \/3/2 + 1/2 + \/3/3 + 1/(\/3/3) - [(\/3/2)/(1/2)] - 1/(1/2)
f(60º) = \/3/2 + 1/2 + \/3/3 + 3\/3/3 - \/3 - 2
f(60º) = \/3/2 + 1/2 + \/3/3 + \/3 - \/3 - 2
f(60º) = \/3/2 + 1/2 + \/3/3 - 2
f(60º) = ... mmc (3 e 2) = 6
f(60º) = 6:3.\/3 + 6:2.1 + 6:3.\/3 - 6:1.2
f(60º) = 2\/3 + 3 + 2\/3 - 12
f(60º) = 4\/3 - 9