The value pi/12 is a solution for the equation: 4cos² (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 cos² (4x) - 3 = 0, we put x = π/12 and check if the equation comes out to be zero.

Hence, we have y = 4 cos² (4 (π/12)) - 3.

⇒ y = 4 cos² (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 cos² (4x) - 3 = 0.