Leysa left(tan(25)right)^2-left(tan(15)right)^2/1-left(tan(25)right)^2left(tan(15)right)^2=

$$\frac{ { \left( \tan ( 25 ) \right) }^{ 2 } - { \left( \tan ( 15 ) \right) }^{ 2 } }{ 1- { \left( \tan ( 25 ) \right) }^{ 2 } { \left( \tan ( 15 ) \right) }^{ 2 } } =$$

Meta

$$\frac{364115155823770524802496458866675000000000000000000000000000000}{2460970767646944749310490159796017021995186714703002124550619079}\approx 0.147955904$$

Lausnarskref

Evaluate trigonometric functions in the problem

$$\frac{0.4663076581549986 ^ {2} - 0.2679491924311227 ^ {2}}{1 - 0.4663076581549986 ^ {2} 0.2679491924311227 ^ {2}}$$

Reiknaðu 0.4663076581549986 í 2. veldi og fáðu 0.21744283205399903234258216600196.

$$\frac{0.21744283205399903234258216600196-0.2679491924311227^{2}}{1-0.4663076581549986^{2}\times 0.2679491924311227^{2}}$$

Reiknaðu 0.2679491924311227 í 2. veldi og fáðu 0.07179676972449082242158358245529.

$$\frac{0.21744283205399903234258216600196-0.07179676972449082242158358245529}{1-0.4663076581549986^{2}\times 0.2679491924311227^{2}}$$

Dragðu 0.07179676972449082242158358245529 frá 0.21744283205399903234258216600196 til að fá út 0.14564606232950820992099858354667.

$$\frac{0.14564606232950820992099858354667}{1-0.4663076581549986^{2}\times 0.2679491924311227^{2}}$$

Reiknaðu 0.4663076581549986 í 2. veldi og fáðu 0.21744283205399903234258216600196.

$$\frac{0.14564606232950820992099858354667}{1-0.21744283205399903234258216600196\times 0.2679491924311227^{2}}$$

Reiknaðu 0.2679491924311227 í 2. veldi og fáðu 0.07179676972449082242158358245529.

$$\frac{0.14564606232950820992099858354667}{1-0.21744283205399903234258216600196\times 0.07179676972449082242158358245529}$$

Margfaldaðu 0.21744283205399903234258216600196 og 0.07179676972449082242158358245529 til að fá út 0.0156116929412221002758039360815931912019253141187991501797523684.

$$\frac{0.14564606232950820992099858354667}{1-0.0156116929412221002758039360815931912019253141187991501797523684}$$

Dragðu 0.0156116929412221002758039360815931912019253141187991501797523684 frá 1 til að fá út 0.9843883070587778997241960639184068087980746858812008498202476316.

$$\frac{0.14564606232950820992099858354667}{0.9843883070587778997241960639184068087980746858812008498202476316}$$

Leystu upp \frac{0.14564606232950820992099858354667}{0.9843883070587778997241960639184068087980746858812008498202476316} með því að margfalda bæði teljara og nefnara með 10000000000000000000000000000000000000000000000000000000000000000.

$$\frac{1456460623295082099209985835466700000000000000000000000000000000}{9843883070587778997241960639184068087980746858812008498202476316}$$

Minnka brotið \frac{1456460623295082099209985835466700000000000000000000000000000000}{9843883070587778997241960639184068087980746858812008498202476316} eins mikið og hægt er með því að draga og stytta út 4.

$$\frac{364115155823770524802496458866675000000000000000000000000000000}{2460970767646944749310490159796017021995186714703002124550619079}$$