Ratkaise sin^-13/5+1/2cos^-15/13-cot^-12

$$\sin ^ { - 1 } \frac { 3 } { 5 } + \frac { 1 } { 2 } \cos ^ { - 1 } 5 / 13 - \cot ^ { - 1 } 2$$

Laske

$$\frac{1629023599891111805160890872476250000000000000}{16976104274737040981348667033796569593793669}\approx 95,959801703$$

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

$$0,010471784116245792 ^ {-1} + \frac{1}{2} 0,999977469210362 ^ {-1} - 28,636253282915604 ^ {-1}$$

Laske 0,010471784116245792 potenssiin -1, jolloin ratkaisuksi tulee \frac{31250000000000000}{327243253632681}.

$$\frac{31250000000000000}{327243253632681}+\frac{1}{2}\times 0,999977469210362^{-1}-28,636253282915604^{-1}$$

Laske 0,999977469210362 potenssiin -1, jolloin ratkaisuksi tulee \frac{500000000000000}{499988734605181}.

$$\frac{31250000000000000}{327243253632681}+\frac{1}{2}\times \frac{500000000000000}{499988734605181}-28,636253282915604^{-1}$$

Kerro \frac{1}{2} ja \frac{500000000000000}{499988734605181}, niin saadaan \frac{250000000000000}{499988734605181}.

$$\frac{31250000000000000}{327243253632681}+\frac{250000000000000}{499988734605181}-28,636253282915604^{-1}$$

Selvitä \frac{15706458769820076500000000000000}{163617940291886473692533520261} laskemalla yhteen \frac{31250000000000000}{327243253632681} ja \frac{250000000000000}{499988734605181}.

$$\frac{15706458769820076500000000000000}{163617940291886473692533520261}-28,636253282915604^{-1}$$

Laske 28,636253282915604 potenssiin -1, jolloin ratkaisuksi tulee \frac{250000000000000}{7159063320728901}.

$$\frac{15706458769820076500000000000000}{163617940291886473692533520261}-\frac{250000000000000}{7159063320728901}$$

Vähennä \frac{250000000000000}{7159063320728901} luvusta \frac{15706458769820076500000000000000}{163617940291886473692533520261} saadaksesi tuloksen \frac{1629023599891111805160890872476250000000000000}{16976104274737040981348667033796569593793669}.

$$\frac{1629023599891111805160890872476250000000000000}{16976104274737040981348667033796569593793669}$$