Question

Olá aguem pode me ajudar?

De o Valor de :

a) Cosec pi/3     b) sec 9pi/4    c)  cotg 37pi/6

Answer 1

pi/3 = 60º
cosec 60 = 1/sen 60 = 1/(√3/2) = 2/√3 = 2√3/3

9pi/4 = 9 . 180/4 = 9 . 45 = 405 --> 405-360 = 45
405 (2º quadrante)
sec 45 = 1/ cos 45 = 1 / √2;2 = 2/√2 = 2√2/2 = √2
sec 9pi/4 = -√2

cotg 37pi/6 = cotg pi/3 = cos pi/3 / sen pi/3 = cos 60 / sen 60 = 1/2 / √3/2 = 1/√3 = √3/3

Answer 2

temos que:
a) cossec π/3 = 1/ (sen π/3) = 1/( √ 3 / 2) = (2. √ 3) / 3

b) sec 9 π / 4 = 1 / (cos 9π/4) = 1 / (√2 / 2) = √2

c) cotg 37π / 6 1 / ( tg 37π) = 1 / (√3 /3)= √3