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# The value π/12 is a solution to the equation 2 cos^{2} (4x) - 1 = 0. True or false?

An equation involving trigonometric ratios of an angle is called a trigonometric identity.

## Answer: False

We will use trigonometric identity to solve this question.

**Explanation:**

2cos^{2}(4x) - 1 = cos(8x)

Substitute π/12 for x in the above equation.

cos(8 × π/12) = cos(2π/3)

= cos(π - π/3)

= - cos(π/3)

= - 1/2

This is not equal to 0.

### Thus, the value π/12 is not a solution to the equation 2 cos^{2} (4x) - 1 = 0. The statement is false.

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