Question

Calcule o valor da expressão cotg π/4 . cotg 3π/4

Answer 1

cotg π/4 = cotg 180/4 = cotg 45 = cos45/sen45 = 0,7/0,7 = 1

cotg 3π/4 = cotg 3 . 180/4 = cotg 540/4 = cotg 135 = cos135/sen135 = -0,7/0,7 = -1

Portanto temos:

x = cotg π/4 . cotg 3π/4

x = 1 . -1

x = -1