Math, asked by nanasahebr7, 7 days ago

cos[cos-¹( 1/2) +π/3]​

Answers

Answered by jitendra12iitg
0

Answer:

The answer is -\frac{1}{2}

Step-by-step explanation:

Since we know that \cos\frac{\pi}{3}=\frac{1}{2}\Rightarrow \cos^{-1}\frac{1}{2}=\frac{\pi}{3}

Therefore

         \cos[\cos^{-1}\frac{1}{2}+\frac{\pi}{3}]=\cos(\frac{\pi}{3}+\frac{\pi}{3})

                             =\cos(\frac{2\pi}{3})=\cos(\pi-\frac{\pi}{3})\\=-\cos\frac{\pi}{3}=-\frac{1}{2}\boxed{\because \cos(\pi-\theta)=-\cos\theta}

Similar questions