cos(x)=-cos(60)

asked by guest
on Apr 03, 2025 at 3:59 am



You asked:

Solve the equation cos(x)=cos(60)\cos\left( x \right) = -\cos\left( 60 \right) for the variable xx.

MathBot Answer:

The real solutions are: x={60+21π+2πn  |  nZ}{6.2831853n+5.9734457  |  nZ}x={6019π+2πn  |  nZ}{6.2831853n+0.30973959  |  nZ}\begin{aligned}x &= \left\{-60 + 21 \pi + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 5.9734457\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{60 - 19 \pi + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.30973959\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}