Solve sin(10)*50+sin(30)*50-sin(45)*50=

$$\sin ( 10 ) \times 50+ \sin ( 30 ) \times 50- \sin ( 45 ) \times 50=$$

Evaluate

$$33.6824088833465165-25\sqrt{2}\approx -1.672930176$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.17364817766693033 \cdot 50 + \sin(30) \cdot 50 - \sin(45) \cdot 50$$

Multiply 0.17364817766693033 and 50 to get 8.6824088833465165.

$$8.6824088833465165+50\sin(30)-50\sin(45)$$

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

$$8.6824088833465165+50\times \frac{1}{2}-50\sin(45)$$

Multiply 50 and \frac{1}{2} to get 25.

$$8.6824088833465165+25-50\sin(45)$$

Add 8.6824088833465165 and 25 to get 33.6824088833465165.

$$33.6824088833465165-50\sin(45)$$

Get the value of \sin(45) from trigonometric values table.

$$33.6824088833465165-50\times \frac{\sqrt{2}}{2}$$

Cancel out 2, the greatest common factor in 50 and 2.

$$33.6824088833465165-25\sqrt{2}$$