# The value pi/12 is a solution for the equation: 4cos^{2 }(4x) - 3 = 0. True or False.

Trigonometry is the study of the relationship of sides and angles of triangles. It has many applications in calculus and algebra.

## Answer: False, x = π/12 is not a solution for the equation 4cos^{2}^{ }(4x) - 3 = 0.

Let's understand the solution in detail.

**Explanation:**

To check whether π/12 is a solution for the equation: 4 cos^{2 }(4x) - 3 = 0, we put x = π/12 and check if the equation comes out to be zero.

Hence, we have y = 4 cos^{2 }(4 (π/12)) - 3.

⇒ y = 4 cos^{2 }(π/3) - 3

⇒ y = 4 × (1/2)^{2} - 3

⇒ y = 4 × 1/4 - 3

⇒ y = -2

### Hence, x = π/12 is not a solution for the equation 4 cos^{2 }(4x) - 3 = 0.

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