Trigonometric equation can be solved by using standard algebraic techniques such as collecting like terms and factoring. The initial goal in solving a trigonometric equation is to isolate the trigonometric function in the equation.

Example:




Because cos(x) has a period of 2π, first find all solutions in the interval [0, 2π).
The solutions are π/4 and 7π/4.

The general solution of the equation can be found by adding multiples of 2π to each of these solutions: π/4 + 2nπ and 7π/4 + 2nπ.



Solve the following equations:



1:

, 0 ≤ x < 2¶

and and





and




2:

, 0 ≤ x < 2¶

and



and

and



3:

, 0 ≤ x < 2¶

and

and and and

and and






4:

, 0 ≤ x < 2¶

and

and



and




5:

, 0 ≤ x < 2¶

x = 0 and and and

and

x = 0 and





6:

, 0 ≤ x < 2¶

and

and

and

and and



7:

, 0 ≤ x < 2¶

and

x = 0 and

and





8:

, 0 ≤ x < 2¶

and

and









Press the Submit button to see the results.