Solve sqrt{2}sin(45)+sin(30cos(60))

$$\sqrt{ 2 } \sin ( 45 ) + \sin ( 30 \cos ( 60 ) )$$

Evaluate

$$1.2588190451025208$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\sqrt{2} \sin(45) + 0.2588190451025208$$

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

$$\sqrt{2}\times \frac{\sqrt{2}}{2}+0.2588190451025208$$

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

$$\frac{\sqrt{2}\sqrt{2}}{2}+0.2588190451025208$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$\frac{2}{2}+0.2588190451025208$$

Divide 2 by 2 to get 1.

$$1+0.2588190451025208$$

Add 1 and 0.2588190451025208 to get 1.2588190451025208.

$$1.2588190451025208$$