Solve 3sin30^circ-4sin^330^circ

$$3 \sin 30 ^ { \circ } - 4 \sin ^ { 3 } 30 ^ { \circ }$$

Evaluate

$$1$$

Solution Steps

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

$$3\times \frac{1}{2}-4\left(\sin(30)\right)^{3}$$

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$\frac{3}{2}-4\left(\sin(30)\right)^{3}$$

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

$$\frac{3}{2}-4\times \left(\frac{1}{2}\right)^{3}$$

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$\frac{3}{2}-4\times \frac{1}{8}$$

Multiply 4 and \frac{1}{8} to get \frac{1}{2}.

$$\frac{3}{2}-\frac{1}{2}$$

Subtract \frac{1}{2} from \frac{3}{2} to get 1.

$$1$$