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

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

Vlerëso

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

Hapat e zgjidhjes

Evaluate trigonometric functions in the problem

$$\frac{-0.15643446504023104}{0.838670567945424} - \frac{0.9876883405951377}{0.5446390350150271}$$

Zhvillo \frac{-0.15643446504023104}{0.838670567945424} duke shumëzuar si numëruesin ashtu dhe emëruesin me 100000000000000000.

$$\frac{-15643446504023104}{83867056794542400}-\frac{0.9876883405951377}{0.5446390350150271}$$

Thjeshto thyesën \frac{-15643446504023104}{83867056794542400} në kufizat më të vogla duke zbritur dhe thjeshtuar 64.

$$-\frac{244428851625361}{1310422762414725}-\frac{0.9876883405951377}{0.5446390350150271}$$

Zhvillo \frac{0.9876883405951377}{0.5446390350150271} duke shumëzuar si numëruesin ashtu dhe emëruesin me 10000000000000000.

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

Shumëfishi më i vogël i përbashkët i 1310422762414725 dhe 5446390350150271 është 7137073887832819476834573140475. Konverto -\frac{244428851625361}{1310422762414725} dhe \frac{9876883405951377}{5446390350150271} në thyesa me emërues 7137073887832819476834573140475.

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

Meqenëse -\frac{1331254938790678533628944622831}{7137073887832819476834573140475} dhe \frac{12942892836874961156576458826325}{7137073887832819476834573140475} kanë të njëjtin emërues, zbriti duke zbritur numëruesit e tyre.

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

Zbrit 12942892836874961156576458826325 nga -1331254938790678533628944622831 për të marrë -14274147775665639690205403449156.

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