# Thread: Trigonometric Equations

1. ## Trigonometric Equations

In this topic, I'm going to show how to count basic trigonometric equation for sine and cosine wave forms.

To make solving the equation easier, I will use the following trigonometric table.

Exercise 1.

Solve equation: in range

I going to draw the and

In range of (0,2) I have found two points where line is crossing the sine wave.
and
To find we have to look at table and check value for
We can find that

because range of is equal in length

Answer: and

2. Exercise 2.

Solve equation

Draw the wave on graph: and

In range of we found two points where line is crossing wave

In trigonometric table we can find that the value of is equal to
So length of and
Because range of and has the same distance, which is equal to

Answer: and

3. Solve equation for

We know from Exercise 1 on top of page, that the function has its first point of crossing waveform at

In range (0,2) we can find two points on graph where function crossed
and

Answer: and

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