Solve cos^26^circ+sin^260^circ

$$\cos ^ { 2 } 6 ^ { \circ } + \sin ^ { 2 } 60 ^ { \circ }$$

Evaluate

$$1.73907380036690274552343222349289$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9945218953682733 ^ {2} + \sin^{2}(60)$$

Calculate 0.9945218953682733 to the power of 2 and get 0.98907380036690274552343222349289.

$$0.98907380036690274552343222349289+\left(\sin(60)\right)^{2}$$

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

$$0.98907380036690274552343222349289+\left(\frac{\sqrt{3}}{2}\right)^{2}$$

To raise \frac{\sqrt{3}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$0.98907380036690274552343222349289+\frac{\left(\sqrt{3}\right)^{2}}{2^{2}}$$

The square of \sqrt{3} is 3.

$$0.98907380036690274552343222349289+\frac{3}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$0.98907380036690274552343222349289+\frac{3}{4}$$

Add 0.98907380036690274552343222349289 and \frac{3}{4} to get \frac{173907380036690274552343222349289}{100000000000000000000000000000000}.

$$\frac{173907380036690274552343222349289}{100000000000000000000000000000000}$$