Solve cos6/tan12=csc12/tan99

$$\frac { \cos 6 } { \tan 12 } = \frac { \csc 12 } { \tan 99 }$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9945218953682733}{0.2125565616700221} = \frac{4.809734344744132}{-6.313751514675037}$$

Expand \frac{0.9945218953682733}{0.2125565616700221} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{9945218953682733}{2125565616700221}=\frac{4.809734344744132}{-6.313751514675037}$$

Reduce the fraction \frac{9945218953682733}{2125565616700221} to lowest terms by extracting and canceling out 3.

$$\frac{3315072984560911}{708521872233407}=\frac{4.809734344744132}{-6.313751514675037}$$

Expand \frac{4.809734344744132}{-6.313751514675037} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{3315072984560911}{708521872233407}=\frac{4809734344744132}{-6313751514675037}$$

Fraction \frac{4809734344744132}{-6313751514675037} can be rewritten as -\frac{4809734344744132}{6313751514675037} by extracting the negative sign.

$$\frac{3315072984560911}{708521872233407}=-\frac{4809734344744132}{6313751514675037}$$

Least common multiple of 708521872233407 and 6313751514675037 is 4473431043994066486695020361059. Convert \frac{3315072984560911}{708521872233407} and -\frac{4809734344744132}{6313751514675037} to fractions with denominator 4473431043994066486695020361059.

$$\frac{20930547077529747373748297678707}{4473431043994066486695020361059}=-\frac{3407801982883431429858797617724}{4473431043994066486695020361059}$$

Compare \frac{20930547077529747373748297678707}{4473431043994066486695020361059} and -\frac{3407801982883431429858797617724}{4473431043994066486695020361059}.

$$\text{false}$$