4. Solve for x:

sin−1(x) + cos−1(x) = π

asked by guest
on Mar 22, 2025 at 12:38 pm



You asked:

Solve the equation sin⁡(−1)⋅x+cos⁡(−1)⋅x=π\sin\left( -1 \right) \cdot x + \cos\left( -1 \right) \cdot x = \pi for the unknown xx.

MathBot Answer:

The solution is: x=π22cos⁡(1+π4)≈−10.431339x = \frac{\pi \sqrt{2}}{2 \cos{\left(1 + \frac{\pi}{4} \right)}} \approx -10.431339

x(−sin⁡(1)+cos⁡(1))=πx=π−sin⁡(1)+cos⁡(1)\begin{aligned}x \left(- \sin{\left(1 \right)} + \cos{\left(1 \right)}\right) &= \pi\\x &= \frac{\pi}{- \sin{\left(1 \right)} + \cos{\left(1 \right)}}\end{aligned}

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