solve cos(x)=0 on [0,2*pi] — step-by-step solution

Let's solve in

ℝ

\cos (x) = 0

cos(θ) =

0

means that: θ =

\frac{π}{2} + k π

, k ∈ ℤ

Solution found:

x = \frac{π}{2} + k π

For

x = \frac{π}{2} + k π

0 \leq k \leq 1

. In

[0, 2 π]

, we keep the solutions lying in the interval:

{\frac{π}{2}, \frac{3 π}{2}}

▶Solution:

x = {\frac{π}{2}, \frac{3 π}{2}}

The numeric value of:

x = {\frac{π}{2}, \frac{3 π}{2}}

is:

x = {\approx \frac{3.1416}{2}, \approx \frac{3 \cdot 3.1416}{2}}

x = {\approx 1.5708, \approx \frac{9.4248}{2}}

▷

x = {\approx 1.5708, \approx 4.7124}