tan75-cot75=?????????
Answers
Answered by
16
Tan75 - Cot75
Sin75/Cos75 - Cos75/Sin75.
Sin75×Sin75 - Cos75×Cos75
Sin²75 - Cos²75°
Sin75/Cos75 - Cos75/Sin75.
Sin75×Sin75 - Cos75×Cos75
Sin²75 - Cos²75°
demon2001:
its wrong...
Answered by
12
tan75 - cot 75= (sin75/cos75)- (cos75/sin75)
={ sin²(75) - cos²(75)}/{(sin75)*(cos75)}
=( - cos 150)/(1/2)sin150
= -2cos150/sin150
= -2cot 150= -2(-cot30)= 2/√3
={ sin²(75) - cos²(75)}/{(sin75)*(cos75)}
=( - cos 150)/(1/2)sin150
= -2cos150/sin150
= -2cot 150= -2(-cot30)= 2/√3
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