Question

Please solve this problem ​

Answer 1

(4) 0

Explanation:

Given:

• cos²27°×cos²34°×...×cos²167 = ?

Looking at the angles measures, they form series of:

• 27, 34, 41, ..., 167

This is AP with the first term of 27 and common difference of 7

We can see one of the terms of this AP is 90

• 27+9*7 = 27 + 63 = 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

So correct answer choice is Option 4) 0