Lahenda 1/2tan(15)sqrt{20}-1

$$\frac{ 1 }{ 2 \tan ( 15 ) } \sqrt{ 20 } -1$$

Arvuta

$$\frac{10000000000000000\sqrt{5}}{2679491924311227}-1\approx 7,345119301$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{1}{2 \cdot 0,2679491924311227} \sqrt{20} - 1$$

Korrutage 2 ja 0,2679491924311227, et leida 0,5358983848622454.

$$\frac{1}{0,5358983848622454}\sqrt{20}-1$$

Saate \frac{1}{0,5358983848622454} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

$$\frac{10000000000000000}{5358983848622454}\sqrt{20}-1$$

Taandage murd \frac{10000000000000000}{5358983848622454} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$\frac{5000000000000000}{2679491924311227}\sqrt{20}-1$$

Tegurda 20=2^{2}\times 5. Kirjutage \sqrt{2^{2}\times 5} toote juured, kui see ruut \sqrt{2^{2}}\sqrt{5}. Leidke 2^{2} ruutjuur.

$$\frac{5000000000000000}{2679491924311227}\times 2\sqrt{5}-1$$

Avaldage \frac{5000000000000000}{2679491924311227}\times 2 ühe murdarvuna.

$$\frac{5000000000000000\times 2}{2679491924311227}\sqrt{5}-1$$

Korrutage 5000000000000000 ja 2, et leida 10000000000000000.

$$\frac{10000000000000000}{2679491924311227}\sqrt{5}-1$$

Lahuta teguriteks

$$\frac{10000000000000000 \sqrt{5}}{2679491924311227} - 1 = 7,345119301$$