Find the value of Cos75°cos15°+sin75°sin15°
You asked:
Evaluate the expression: \(\cos\left( 75^{\circ} \right) \cdot \cos\left( 15^{\circ} \right) + \sin\left( 75^{\circ} \right) \cdot \sin\left( 15^{\circ} \right)\)
MathBot Answer:
\[\cos\left( 75^{\circ} \right) \cdot \cos\left( 15^{\circ} \right) + \sin\left( 75^{\circ} \right) \cdot \sin\left( 15^{\circ} \right) = 2 \left(- \frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}\right) \left(\frac{\sqrt{2}}{4} + \frac{\sqrt{6}}{4}\right) \approx 0.5\]