Solve {l}{sin^230}{+cos^260}

$$\left. \begin{array} { l } { \sin ^ { 2 } 30 } \\ { + \cos ^ { 2 } 60 } \end{array} \right.$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

$$\left(\frac{1}{2}\right)^{2}+\left(\cos(60)\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{1}{4}+\left(\cos(60)\right)^{2}$$

Get the value of \cos(60) from trigonometric values table.

$$\frac{1}{4}+\left(\frac{1}{2}\right)^{2}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\frac{1}{4}+\frac{1}{4}$$

Add \frac{1}{4} and \frac{1}{4} to get \frac{1}{2}.

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