Question

sabendo que sen x=1/22 e cos raiz quadrada de 3/2, calcule sen 2 x é cos 2x

Answer 1

vamos lá!

sen x=1/22 e cos √3/2

sen2x=2.senx.(cosx)

sen2x=2•(1/22)•(√3/2)

sen2x=(2/22)•(√3/2)

sen2x=2√3/44
__________________
sen2x=√3/11


cos2x=2.(cosx)^2-1

cos2x=2.(√3/2)^2-1

cos2x=2.(3/4)-1

cos2x=6/4-1

cos2x=6-4

cos2x=2


espero ter ajudado!

boa tarde!