Question

Если x=ctg(arcsin(-1/4)+Pi) то найдите (х)

Answer 1

x = ctg(arcsin(-(1/4) + п) = ctg(arcsin(-(1/4)) = ctg(-arcsin(1/4)) = -cos(arcsin(1/4))/sin(arcsin(1/4) = -√(1 - sin²(arcsin(1/4))/(1/4) = -4√(1 - (1/4)²) = -4√(16 - 1)/4 = -√15