Solve a=sin90^circ(cos20^circ*40-6)/sin88^circ

$$a = \frac { \sin 90 ^ { \circ } ( \cos 20 ^ { \circ } \times 40 - 6 ) } { \sin 88 ^ { \circ } }$$

Solve for a

$$a=-\frac{13469806292303277}{49969541350954790}\approx -0.269560335$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$a = \frac{-0.26939612584606554}{0.9993908270190958}$$

Expand \frac{-0.26939612584606554}{0.9993908270190958} by multiplying both numerator and the denominator by 100000000000000000.

$$a=\frac{-26939612584606554}{99939082701909580}$$

Reduce the fraction \frac{-26939612584606554}{99939082701909580} to lowest terms by extracting and canceling out 2.

$$a=-\frac{13469806292303277}{49969541350954790}$$

Assign a

$$a≔-\frac{13469806292303277}{49969541350954790}$$