Question-89599

Question Number 89599 by 20000193 last updated on 18/Apr/20

Commented by john santu last updated on 18/Apr/20

4a) tan (A+C) =((tan A+tan C)/(1−tan A.tan C)) case (1) = (((1/( (√3))) + (√3))/(1−(1/( (√3))).(√3))) = ∞ (undefined ) case (2) = (((1/( (√3))) − (√3))/(1+(1/( (√3))).(√3))) = ((−2)/(2(√3))) = −(1/( (√3))) case (3) = (((1/( (√3)))+(√3))/(1+(1/( (√3))).(√3))) = (4/(2(√3))) = (2/( (√3))) case (4) = case (1) undefined

$$\left.\mathrm{4}{a}\right)\:\mathrm{tan}\:\left({A}+{C}\right)\:=\frac{\mathrm{tan}\:{A}+\mathrm{tan}\:{C}}{\mathrm{1}−\mathrm{tan}\:{A}.\mathrm{tan}\:{C}} \\ $$$$\:{case}\:\left(\mathrm{1}\right)\:=\:\frac{\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:+\:\sqrt{\mathrm{3}}}{\mathrm{1}−\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}.\sqrt{\mathrm{3}}}\:=\:\infty\:\left({undefined}\:\right) \\ $$$${case}\:\left(\mathrm{2}\right)\:=\:\frac{\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\:−\:\sqrt{\mathrm{3}}}{\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}.\sqrt{\mathrm{3}}}\:=\:\frac{−\mathrm{2}}{\mathrm{2}\sqrt{\mathrm{3}}}\:=\:−\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}} \\ $$$${case}\:\left(\mathrm{3}\right)\:=\:\frac{\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}+\sqrt{\mathrm{3}}}{\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}.\sqrt{\mathrm{3}}}\:=\:\frac{\mathrm{4}}{\mathrm{2}\sqrt{\mathrm{3}}}\:=\:\frac{\mathrm{2}}{\:\sqrt{\mathrm{3}}} \\ $$$${case}\:\left(\mathrm{4}\right)\:=\:{case}\:\left(\mathrm{1}\right)\:{undefined} \\ $$

Commented by mr W last updated on 18/Apr/20

to 20000193: please don′t misuse this platform to let other people do home work for you!

$${to}\:\mathrm{20000193}: \\ $$$${please}\:{don}'{t}\:{misuse}\:{this}\:{platform}\:{to} \\ $$$${let}\:{other}\:{people}\:{do}\:{home}\:{work}\:{for}\:{you}! \\ $$

Commented by mr W last updated on 18/Apr/20

$${i}\:{think}\:{we}\:{should}\:{not}\:{remunerate} \\ $$$${people}\:{who}\:{just}\:{copy}\:{and}\:{throw}\:{their} \\ $$$${home}\:{work}\:{here},\:{even}\:{don}'{t}\:{make}\:{the} \\ $$$${effort}\:{to}\:{type}\:{where}\:{he}\:{or}\:{she}\:{has} \\ $$$${problem},{but}\:{expect}\:{that}\:{somebody}\:{will} \\ $$$${do}\:{all}\:{the}\:{things}\:{for}\:{him}\:{or}\:{her}. \\ $$$$ \\ $$$${this}\:{forum}\:{helps}\:{people}\:{who}\:{try}\:{to} \\ $$$${help}\:{themselves}! \\ $$

Commented by john santu last updated on 18/Apr/20