cosx+sinx=0

asked by guest
on Mar 23, 2025 at 12:09 pm



You asked:

Solve the equation cos⁡(x)+sin⁡(x)=0\cos\left( x \right) + \sin\left( x \right) = 0 for the variable xx.

MathBot Answer:

The real solutions are: x={π(3+8n)4  |  n∈Z}≈{6.2831853n+2.3561945  |  n∈Z}x={π(7+8n)4  |  n∈Z}≈{6.2831853n+5.4977871  |  n∈Z}\begin{aligned}x &= \left\{\frac{\pi \left(3 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 2.3561945\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\frac{\pi \left(7 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 5.4977871\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}

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