determine-the-exact-value-of-sin-a2-if-cos-a-815-and-90-and-lt-a-and-lt-180

Question

Determine the exact value of ﻿sin⁡(A2)\sin\left(\frac{A}{2}\right)sin(2A​)﻿ if ﻿cos⁡A=−815\cos A=-\frac{8}{15}cosA=−158​﻿ and ﻿90∘A180∘$$90^{\circ}90$$∘A180∘﻿.

Accepted Answer

﻿69030\frac{\sqrt{690}}{30}30690​​﻿

Answer

﻿21015\frac{2\sqrt{10}}{15}15210​​﻿

Answer

﻿−69030-\frac{\sqrt{690}}{30}−30690​​﻿

Answer

﻿−21015\frac{-2\sqrt{10}}{15}15−210​​﻿

Determine the exact value of sin(A2)\(\sin\[\left\)(\(\frac{A}{2}\]\right\))sin(2A) if cosA=−815\(\cos\) A=-\(\frac{8}{15}\)cosA=−158 and 90∘<A<180∘90^{\(\circ\)}<A<180^{\(\circ\)}90∘<A<180∘.

Determine the exact value of $\(\sin\[\left\)(\(\frac{A}{2}\]\right\))$ if $\cos\) A=-\(\frac{8}{15}$ and $90^{\(\circ\)}<A<180^{\(\circ\)}$ .