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

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

Hesapla

$$\frac{364115155823770524802496458866675000000000000000000000000000000}{2460970767646944749310490159796017021995186714703002124550619079}\approx 0,147955904$$

Çözüm Adımları

Evaluate trigonometric functions in the problem

$$\frac{0,4663076581549986 ^ {2} - 0,2679491924311227 ^ {2}}{1 - 0,4663076581549986 ^ {2} 0,2679491924311227 ^ {2}}$$

2 sayısının 0,4663076581549986 kuvvetini hesaplayarak 0,21744283205399903234258216600196 sonucunu bulun.

$$\frac{0,21744283205399903234258216600196-0,2679491924311227^{2}}{1-0,4663076581549986^{2}\times 0,2679491924311227^{2}}$$

2 sayısının 0,2679491924311227 kuvvetini hesaplayarak 0,07179676972449082242158358245529 sonucunu bulun.

$$\frac{0,21744283205399903234258216600196-0,07179676972449082242158358245529}{1-0,4663076581549986^{2}\times 0,2679491924311227^{2}}$$

0,21744283205399903234258216600196 sayısından 0,07179676972449082242158358245529 sayısını çıkarıp 0,14564606232950820992099858354667 sonucunu bulun.

$$\frac{0,14564606232950820992099858354667}{1-0,4663076581549986^{2}\times 0,2679491924311227^{2}}$$

2 sayısının 0,4663076581549986 kuvvetini hesaplayarak 0,21744283205399903234258216600196 sonucunu bulun.

$$\frac{0,14564606232950820992099858354667}{1-0,21744283205399903234258216600196\times 0,2679491924311227^{2}}$$

2 sayısının 0,2679491924311227 kuvvetini hesaplayarak 0,07179676972449082242158358245529 sonucunu bulun.

$$\frac{0,14564606232950820992099858354667}{1-0,21744283205399903234258216600196\times 0,07179676972449082242158358245529}$$

0,21744283205399903234258216600196 ve 0,07179676972449082242158358245529 sayılarını çarparak 0,0156116929412221002758039360815931912019253141187991501797523684 sonucunu bulun.

$$\frac{0,14564606232950820992099858354667}{1-0,0156116929412221002758039360815931912019253141187991501797523684}$$

1 sayısından 0,0156116929412221002758039360815931912019253141187991501797523684 sayısını çıkarıp 0,9843883070587778997241960639184068087980746858812008498202476316 sonucunu bulun.

$$\frac{0,14564606232950820992099858354667}{0,9843883070587778997241960639184068087980746858812008498202476316}$$

Payı ve paydayı 10000000000000000000000000000000000000000000000000000000000000000 ile çarparak \frac{0,14564606232950820992099858354667}{0,9843883070587778997241960639184068087980746858812008498202476316} kesrini genişletin.

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

4 terimini kökün dışına çıkarıp yok ederek \frac{1456460623295082099209985835466700000000000000000000000000000000}{9843883070587778997241960639184068087980746858812008498202476316} kesrini sadeleştirin.

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