Find the value of Cos75°cos15°+sin75°sin15°

asked by guest
on Nov 24, 2024 at 7:01 am



You asked:

Evaluate the expression: cos⁡(75∘)cos⁡(15∘)+sin⁡(75∘)sin⁡(15∘)\cos\left( 75^{\circ} \right) \cos\left( 15^{\circ} \right) + \sin\left( 75^{\circ} \right) \sin\left( 15^{\circ} \right)

MathBot Answer:

cos⁡(75∘)cos⁡(15∘)+sin⁡(75∘)sin⁡(15∘)=2(−24+64)(24+64)≈0.5\cos\left( 75^{\circ} \right) \cos\left( 15^{\circ} \right) + \sin\left( 75^{\circ} \right) \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

+ Submit Question