Solve 3cos55^circ/7sin35^circ-sqrt{3}

$$\frac { 3 \cos 55 ^ { \circ } } { 7 \sin 35 ^ { \circ } } - \sqrt { 3 }$$

Evaluate

$$\frac{3}{7}-\sqrt{3}\approx -1.303479379$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{3 \cdot 0.573576436351046}{7 \cdot 0.573576436351046} - \sqrt{3}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{3}{7\times 0.573576436351046^{0}}-\sqrt{3}$$

Calculate 0.573576436351046 to the power of 0 and get 1.

$$\frac{3}{7\times 1}-\sqrt{3}$$

Multiply 7 and 1 to get 7.

$$\frac{3}{7}-\sqrt{3}$$

Factor

$$\frac{3}{7} - \sqrt{3} = -1.303479379$$