Determine if the given value of x is a solution to the given equation.cot2(x)=1cot2(𝑥)=1; x=7π4

To determine if x=7π/4 is a solution to the equation cot^2(x)=1, we need to substitute x=7π/4 into the equation and see if both sides are equal.

Step 1: Substitute x=7π/4 into the equation cot^2(7π/4)=1

Step 2: Calculate cot(7π/4) cot(7π/4) = cos(7π/4) / sin(7π/4) = √2/2 / √2/2 = 1

Step 3: Square the result (1)^2 = 1

So, cot^2(7π/4) = 1, which is the same as the right side of the equation. Therefore, x=7π/4 is a solution to the equation cot^2(x)=1.