Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

Trigonometric equation solver

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.

Result

The solutions of

$$\sin\left( x \right)=- \frac{\sqrt{ 2 }}{ 2 }$$

which are in range $-180 ^\circ \leq x \leq 180 ^\circ$ are

$$x = -135 ^\circ~~\text{and}~~x = -45 ^\circ$$

Report an Error !

Script name : trigonometric-equation-solver

Imputed values: 0 , 1 , 1 , -r2/2 , ex , deg , interval , -180 , 180

Comment (optional)

Email (optional)

Share Result

Share this result with others by using the link below.

You can click here to verify link or you can just copy and paste link wherever you need it.

Trigonometric Equation Solver
0 1 2 3 4 5 6 7 8 9 - / . del

( $\cdot$ x ) =

 exact solutions (default) an approximate solutions
 find all solutions (default) ≤ x ≤

Examples on how to use this calculator

Example 1:

Solve

$$\sin(2x)=\frac{\sqrt{3}}{2} ~~ \text{for} ~~ 0 \leq x \leq 360^\circ$$

Express the results in radians.

Example 2:

Find all solutions of the equation

$$\cos \left( \frac{3x}{2} \right) = -\frac{\sqrt{2}}{2}$$

Express the results in degrees.

Example 3:

Find exact solutions of the equation

$$\tan \left( -\frac{4x}{3} \right) = 0.4$$

Express the results in radians.

Example 4:

Solve

$$2\sin \left( x \right) + \sqrt{2}= 0 ~~ \text{for} ~~ -180^\circ \leq x \leq 180^\circ$$

Express the results in degrees.

Quick Calculator Search