tan(π/8)-cot(π/8)=?A.-2 B.-1 C.1 D.2

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tan(π/8)-cot(π/8)=?A.-2B.-1C.1D.2tan(π/8)-cot(π/8)=?A.-2B.-1C.1D.2tan(π/8)-cot(π/8)=?A.-2B.-1C.1D.2t

tan(π/8)-cot(π/8)=?A.-2 B.-1 C.1 D.2
tan(π/8)-cot(π/8)=?
A.-2 B.-1 C.1 D.2

tan(π/8)-cot(π/8)=?A.-2 B.-1 C.1 D.2
tanπ/8-ctgπ/8
=(sinπ/8)/(cosπ/8)-(cosπ/8)/(sinπ/8)
=[(sinπ/8)^2-(cosπ/8)^2]/(sinπ/8*cosπ/8)
=(-cosπ/4)/[(1/2)*sinπ/4]
=-2
A.-2