The value of cos-22-cos-23- - -cos-210-sin-210 is-

The correct option is C 1512 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Circular Measurement of Angle

The value of ...

Question

The value of $cos \frac{π}{2^{2}} \cdot cos \frac{π}{2^{3}} \cdot . . . \cdot cos \frac{π}{2^{10}} \cdot sin \frac{π}{2^{10}}$ is:

\frac{1}{256}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{512}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{1024}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

cos \frac{π}{2^{2}} \cdot cos \frac{π}{2^{3}} \cdot . . . \cdot cos \frac{π}{2^{10}} \cdot sin \frac{π}{2^{10}}

{(\frac{1 + c o s \frac{π}{2} - i s i n \frac{π}{2}}{1 + c o s \frac{π}{2} + i s i n \frac{π}{2}})}^{2}

cos (\frac{π}{2^{2}}) . . . . . . cos (\frac{π}{2^{12}}) . sin (\frac{π}{2^{12}}) =

{⎡ ⎢ ⎢ ⎢ ⎢ ⎣ \frac{sin \frac{π}{6} + i (1 - cos \frac{π}{6})}{sin \frac{π}{6} - i (1 - cos \frac{π}{6})} ⎤ ⎥ ⎥ ⎥ ⎥ ⎦}^{2}

i = \sqrt{- 1}

{⎛ ⎜ ⎜ ⎜ ⎝ \frac{cos (\frac{π}{2} + x) + sin (\frac{π}{2} + x)}{cos (\frac{π}{2} - x) - sin (\frac{π}{2} - x)} ⎞ ⎟ ⎟ ⎟ ⎠}^{2}

Join BYJU'S Learning Program