Lutasin ang cos(99)/cos(33)-sin(99)/sin(33)

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-expand ang \frac{-0.15643446504023104}{0.838670567945424} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000000000000.

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

Bawasan ang fraction \frac{-15643446504023104}{83867056794542400} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 64.

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

I-expand ang \frac{0.9876883405951377}{0.5446390350150271} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Ang least common multiple ng 1310422762414725 at 5446390350150271 ay 7137073887832819476834573140475. I-convert ang -\frac{244428851625361}{1310422762414725} at \frac{9876883405951377}{5446390350150271} sa mga fraction na may denominator na 7137073887832819476834573140475.

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

Dahil may parehong denominator ang -\frac{1331254938790678533628944622831}{7137073887832819476834573140475} at \frac{12942892836874961156576458826325}{7137073887832819476834573140475}, ibawas ang mga ito sa pamamagitan ng pagbawas sa mga numerator ng mga ito.

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

I-subtract ang 12942892836874961156576458826325 mula sa -1331254938790678533628944622831 para makuha ang -14274147775665639690205403449156.

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