Find the value of sin15∘\sin 15^\circsin15∘.
Write 15∘15^\circ15∘ as 45∘−30∘45^\circ - 30^\circ45∘−30∘. sin(45∘−30∘)=sin45∘cos30∘−cos45∘sin30∘\sin(45^\circ - 30^\circ) = \sin 45^\circ \cos 30^\circ - \cos 45^\circ \sin 30^\circsin(45∘−30∘)=sin45∘cos30∘−cos45∘sin30∘ =12⋅32−12⋅12= \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}} \cdot \frac{1}{2}=21⋅23−21⋅21 =3−122= \frac{\sqrt{3} - 1}{2\sqrt{2}}=223−1
Evaluate tan13π/12\tan 13\pi/12tan13π/12.
Standard Values:
sin 0 = 0, sin 30 = 0.5, sin 45 = 0.707, sin 60 = 0.866, sin 90 = 1
cos 0 = 1, cos 30 = 0.866, cos 45 = 0.707, cos 60 = 0.5, cos 90 = 0
Select an operation and enter values.