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Trigonometry · Unit-Circle

Evaluate cos(pi/4) + sin(pi/6)

\cos{\left(\frac{\pi}{4} \right)} + \sin{\left(\frac{\pi}{6} \right)}

Step by step

  1. \sin{\left(\frac{\pi}{6} \right)} + \cos{\left(\frac{\pi}{4} \right)} = \sin{\left(\frac{\pi}{6} \right)} + \frac{\sqrt{2}}{2}

    Exact value from the unit circle: cos(π/4) = √(2)/2.

  2. \sin{\left(\frac{\pi}{6} \right)} + \frac{\sqrt{2}}{2} = \frac{1}{2} + \frac{\sqrt{2}}{2}

    Exact value from the unit circle: sin(π/6) = 1/2.

Reveal the answer
\frac{1}{2} + \frac{\sqrt{2}}{2} \approx 1.2071