Solve sin(30)+1/1+sin(30)

$$\sin ( 30 ) + \frac{ 1 }{ 1+ \sin ( 30 ) }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

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

$$\frac{1}{2}+\frac{1}{1+\sin(30)}$$

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

$$\frac{1}{2}+\frac{1}{1+\frac{1}{2}}$$

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

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

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

$$\frac{1}{2}+1\times \frac{2}{3}$$

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

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

Add \frac{1}{2} and \frac{2}{3} to get \frac{7}{6}.

$$\frac{7}{6}$$