Solve 0^circ+sqrt{3}cos30^circ+3sin29^circsec61^circ-x1/yRightarrow1/x-3/2y=

$$0 ^ { \circ } + \sqrt { 3 } \cos 30 ^ { \circ } + 3 \sin 29 ^ { \circ } \sec 61 ^ { \circ } - x \frac { 1 } { y } \Rightarrow \frac { 1 } { x } - \frac { 3 } { 2 y } =$$

Evaluate

$$-\frac{x}{y}+4.49999999999999987246512207937052$$

Short Solution Steps

Evaluate trigonometric functions in the problem

$$0 + \sqrt{3} \cos(30) + 3 \cdot 0.48480962024633706 \cdot 2.062665339627314 - x \frac{1}{y}$$

Get the value of \cos(30) from trigonometric values table.

$$0+\sqrt{3}\times \frac{\sqrt{3}}{2}+3\times 0.48480962024633706\times 2.062665339627314-x\times \frac{1}{y}$$

Express \sqrt{3}\times \frac{\sqrt{3}}{2} as a single fraction.

$$0+\frac{\sqrt{3}\sqrt{3}}{2}+3\times 0.48480962024633706\times 2.062665339627314-x\times \frac{1}{y}$$

Multiply 3 and 0.48480962024633706 to get 1.45442886073901118.

$$0+\frac{\sqrt{3}\sqrt{3}}{2}+1.45442886073901118\times 2.062665339627314-x\times \frac{1}{y}$$

Multiply 1.45442886073901118 and 2.062665339627314 to get 2.99999999999999987246512207937052.

$$0+\frac{\sqrt{3}\sqrt{3}}{2}+2.99999999999999987246512207937052-x\times \frac{1}{y}$$

Add 0 and 2.99999999999999987246512207937052 to get 2.99999999999999987246512207937052.

$$2.99999999999999987246512207937052+\frac{\sqrt{3}\sqrt{3}}{2}-x\times \frac{1}{y}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$2.99999999999999987246512207937052+\frac{3}{2}-x\times \frac{1}{y}$$

Add 2.99999999999999987246512207937052 and \frac{3}{2} to get \frac{112499999999999996811628051984263}{25000000000000000000000000000000}.

$$\frac{112499999999999996811628051984263}{25000000000000000000000000000000}-x\times \frac{1}{y}$$

Express x\times \frac{1}{y} as a single fraction.

$$\frac{112499999999999996811628051984263}{25000000000000000000000000000000}-\frac{x}{y}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 25000000000000000000000000000000 and y is 25000000000000000000000000000000y. Multiply \frac{112499999999999996811628051984263}{25000000000000000000000000000000} times \frac{y}{y}. Multiply \frac{x}{y} times \frac{25000000000000000000000000000000}{25000000000000000000000000000000}.

$$\frac{112499999999999996811628051984263y}{25000000000000000000000000000000y}-\frac{25000000000000000000000000000000x}{25000000000000000000000000000000y}$$

Since \frac{112499999999999996811628051984263y}{25000000000000000000000000000000y} and \frac{25000000000000000000000000000000x}{25000000000000000000000000000000y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112499999999999996811628051984263y-25000000000000000000000000000000x}{25000000000000000000000000000000y}$$