sin2A+cos2A=1

asked by guest
on Oct 06, 2024 at 7:16 pm



You asked:

Solve the equation \(\sin\left( 2 A \right) + \cos\left( 2 A \right) = 1\) for the variable \(A\).

MathBot Answer:

The real solutions are: \[\begin{aligned}A &= \left\{\pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{3.1415927 n\; \middle|\; n \in \mathbb{Z}\right\}\\A &= \left\{\pi \left(\frac{1}{4} + n\right)\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{3.1415927 n + 0.78539816\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]

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