Solve 3*76=sec(0.2)^3pi/4*x

$$3 \cdot 76 = \frac { \sec ( 0.2 ) ^ { 3 } \pi } { 4 } \times x$$

Solve for x

$$x = \frac{222656250000000000000000000000000000000000000000}{244145087219074873950587129654482342313344039 \pi} = 290\frac{2.24970398929383 \times 10^{44}}{7.670044124174848 \times 10^{44}} \approx 290.293310436$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$3 \cdot 76 = \frac{1.0000060923793264 ^ {3} \pi}{4} \cdot x$$

Multiply both sides of the equation by 4.

$$12\times 76=1.0000060923793264^{3}\pi x$$

Multiply 12 and 76 to get 912.

$$912=1.0000060923793264^{3}\pi x$$

Calculate 1.0000060923793264 to the power of 3 and get 1.000018277249330683701604883064759674115457183744.

$$912=1.000018277249330683701604883064759674115457183744\pi x$$

Swap sides so that all variable terms are on the left hand side.

$$1.000018277249330683701604883064759674115457183744\pi x=912$$

The equation is in standard form.

$$\frac{244145087219074873950587129654482342313344039\pi }{244140625000000000000000000000000000000000000}x=912$$

Divide both sides by 1.000018277249330683701604883064759674115457183744\pi .

$$\frac{244140625000000000000000000000000000000000000\times \frac{244145087219074873950587129654482342313344039\pi }{244140625000000000000000000000000000000000000}x}{244145087219074873950587129654482342313344039\pi }=\frac{912\times 244140625000000000000000000000000000000000000}{244145087219074873950587129654482342313344039\pi }$$

Dividing by 1.000018277249330683701604883064759674115457183744\pi undoes the multiplication by 1.000018277249330683701604883064759674115457183744\pi .

$$x=\frac{912\times 244140625000000000000000000000000000000000000}{244145087219074873950587129654482342313344039\pi }$$

Divide 912 by 1.000018277249330683701604883064759674115457183744\pi .

$$x=\frac{222656250000000000000000000000000000000000000000}{244145087219074873950587129654482342313344039\pi }$$