Solve ksin15^circsin75^circ/sec75^circcsc75^circse

$$k \frac { \sin 15 ^ { \circ } \sin 75 ^ { \circ } } { \sec 75 ^ { \circ } \csc 75 ^ { \circ } } se$$

Evaluate

$$\frac{41666666666666663640340039337757eks}{666666666666666730276477697952850}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$k \frac{0.25881904510252074 \cdot 0.9659258262890683}{3.8637033051562737 \cdot 1.035276180410083} s e$$

Multiply 0.25881904510252074 and 0.9659258262890683 to get 0.249999999999999981842040236026542.

$$k\times \frac{0.249999999999999981842040236026542}{3.8637033051562737\times 1.035276180410083}se$$

Multiply 3.8637033051562737 and 1.035276180410083 to get 4.0000000000000003816588661877171.

$$k\times \frac{0.249999999999999981842040236026542}{4.0000000000000003816588661877171}se$$

Expand \frac{0.249999999999999981842040236026542}{4.0000000000000003816588661877171} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$k\times \frac{249999999999999981842040236026542}{4000000000000000381658866187717100}se$$

Reduce the fraction \frac{249999999999999981842040236026542}{4000000000000000381658866187717100} to lowest terms by extracting and canceling out 6.

$$k\times \frac{41666666666666663640340039337757}{666666666666666730276477697952850}se$$