Riješi cos(99)/cos(33)-sin(99)/sin(33)

$$\frac{ \cos ( 99 ) }{ \cos ( 33 ) } - \frac{ \sin ( 99 ) }{ \sin ( 33 ) }$$

Procijeni

$$-\frac{14274147775665639690205403449156}{7137073887832819476834573140475}\approx -2$$

Koraci za rješenje

Evaluate trigonometric functions in the problem

$$\frac{-0,15643446504023104}{0,838670567945424} - \frac{0,9876883405951377}{0,5446390350150271}$$

Proširite \frac{-0,15643446504023104}{0,838670567945424} množenjem i brojioca i dijeljenika sa 100000000000000000.

$$\frac{-15643446504023104}{83867056794542400}-\frac{0,9876883405951377}{0,5446390350150271}$$

Svedite razlomak \frac{-15643446504023104}{83867056794542400} na najprostije elemente rastavlјanjem i kraćenjem 64.

$$-\frac{244428851625361}{1310422762414725}-\frac{0,9876883405951377}{0,5446390350150271}$$

Proširite \frac{0,9876883405951377}{0,5446390350150271} množenjem i brojioca i dijeljenika sa 10000000000000000.

$$-\frac{244428851625361}{1310422762414725}-\frac{9876883405951377}{5446390350150271}$$

Najmanji zajednički množilac od 1310422762414725 i 5446390350150271 je 7137073887832819476834573140475. Konvertirajte -\frac{244428851625361}{1310422762414725} i \frac{9876883405951377}{5446390350150271} u razlomke s imeniocem 7137073887832819476834573140475.

$$-\frac{1331254938790678533628944622831}{7137073887832819476834573140475}-\frac{12942892836874961156576458826325}{7137073887832819476834573140475}$$

Pošto -\frac{1331254938790678533628944622831}{7137073887832819476834573140475} i \frac{12942892836874961156576458826325}{7137073887832819476834573140475} imaju isti imenilac, oduzmite ih tako što ćete oduzeti njihove brojioce.

$$\frac{-1331254938790678533628944622831-12942892836874961156576458826325}{7137073887832819476834573140475}$$

Oduzmite 12942892836874961156576458826325 od -1331254938790678533628944622831 da biste dobili -14274147775665639690205403449156.

$$-\frac{14274147775665639690205403449156}{7137073887832819476834573140475}$$