JEE Main & Advanced
Mathematics
Trigonometric Identities
Question Bank
Numerical Value Type Questions - Trigonometric Functions
question_answer
If the value of \[\cos \frac{\pi }{{{2}^{2}}}.\cos \frac{\pi }{{{2}^{3}}}\cdot .....\cdot \cos \frac{\pi }{{{2}^{10}}}.\sin \frac{\pi }{{{2}^{10}}}={{2}^{\frac{1}{k}}},\] then k is equal to