Solve ttan48^circtan23^circtan42^circtan67^circ=1

$$t \tan 48 ^ { \circ } \tan 23 ^ { \circ } \tan 42 ^ { \circ } \tan 67 ^ { \circ } = 1$$

Solve for t_1

$$t_{1} = \frac{15625000000000000000000000000000000000000000000000000000000000}{1556186807846249087741039570819718503200280777435712113386587} = 10\frac{6.313192153751029 \times 10^{58}}{1.556186807846249 \times 10^{60}} \approx 10.040568344$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$t 1.1106125148291928 \cdot 0.4244748162096047 \cdot 0.9004040442978399 \cdot 2.355852365823752 = 1$$

Multiply 0.1106125148291928 and 0.4244748162096047 to get 0.04695222690260378819554330808616.

$$t_{1}\times 0.04695222690260378819554330808616\times 0.9004040442978399\times 2.355852365823752=1$$

Multiply 0.04695222690260378819554330808616 and 0.9004040442978399 to get 0.042275974991894291586435479393698163757091085784.

$$t_{1}\times 0.042275974991894291586435479393698163757091085784\times 2.355852365823752=1$$

Multiply 0.042275974991894291586435479393698163757091085784 and 2.355852365823752 to get 0.099595955702159941615426532532461984204817969755885575256741568.

$$t_{1}\times 0.099595955702159941615426532532461984204817969755885575256741568=1$$

Divide both sides by 0.099595955702159941615426532532461984204817969755885575256741568.

$$t_{1}=\frac{1}{0.099595955702159941615426532532461984204817969755885575256741568}$$

Expand \frac{1}{0.099595955702159941615426532532461984204817969755885575256741568} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000000000000.

$$t_{1}=\frac{1000000000000000000000000000000000000000000000000000000000000000}{99595955702159941615426532532461984204817969755885575256741568}$$

Reduce the fraction \frac{1000000000000000000000000000000000000000000000000000000000000000}{99595955702159941615426532532461984204817969755885575256741568} to lowest terms by extracting and canceling out 64.

$$t_{1}=\frac{15625000000000000000000000000000000000000000000000000000000000}{1556186807846249087741039570819718503200280777435712113386587}$$