This calculator can solve basic trigonometric equations such as: $\color{blue}{ \sin(x) = \frac{1}{2} }$ or $ \color{blue}{ \sqrt{2} \cos\left(-\frac{3x}{4}\right) - 1 = 0 } $.
The calculator will find exact or approximate solutions on custom range. Solution can be expressed either in radians or degrees.
solution
The solutions of
$$\cos\left( \frac{ 3 x}{ 2 } \right)=- \frac{\sqrt{ 2 }}{ 2 }$$are
$$ \color{blue}{x = -89760^\circ + 240^\circ \cdot n}~~\text{and}~~\color{blue}{x = 90000^\circ + 240^\circ \cdot n}~~~\text{where}~~ n \in \mathbb Z $$Solve equation $ \sin(2x)=\frac{\sqrt{3}}{2} ~~ \text{for} ~~ 0 \leq x \leq 360^\circ $.
Find all solutions of the equation $ \cos \left( \frac{3x}{2} \right) = -\frac{\sqrt{2}}{2}$. Express the results in degrees.
Find exact solutions of the equation $ \tan \left( -\frac{4x}{3} \right) = 0.4$. Express the results in radians.
Solve $ 2\sin \left( x \right) + \sqrt{2}= 0 ~~ \text{for} ~~ -180^\circ \leq x \leq 180^\circ $. Express the results in degrees.
Please tell me how can I make this better.