Solveeit Logo
Login

Question

Mathematics Question on Trigonometric Functions

If θ∈(−π,0) and cosθ=−1213,then sin⁡(θ2)=\theta \isin(-\pi,0)\ and\ cos\theta=\frac{-12}{13}, then\ \sin(\frac{\theta}{2})=

A

−52626\frac{-5\sqrt{26}}{26}

B

52626\frac{5\sqrt{26}}{26}

C

−51313\frac{-5\sqrt{13}}{13}

D

51313\frac{5\sqrt{13}}{13}

E

−51326\frac{-5\sqrt{13}}{26}

Answer

−52626\frac{-5\sqrt{26}}{26}

Explanation

Solution

The correct option is (A) : −52626\frac{-5\sqrt{26}}{26}