Question

how to solve a trigonomitic equation

Answer 1

Answer:

Step-by-step explanation:

Solving trig equations use both the reference angles and trigonometric identities that you've memorized, together with a lot of the algebra you've learned. Be prepared to need to think in order to solve these equations.

In what follows, it is assumed that you have a good grasp of the trig-ratio values in the first quadrant, how the unit circle works, the relationship between radians and degrees, and what the various trig functions' curves look like, at least on the first period. If you're not sure of yourself, go back and review those topics first.

Few example

Solve sin(x) + 2 = 3 over the interval 0° ≤ x < 360°

Just as with linear equations, I'll first isolate the variable-containing term:

sin(x) + 2 = 3

sin(x) = 1

Now I'll use the reference angles I've memorized to get my final answer.

Note: The instructions gave me the interval in terms of degrees, which means that I'm supposed to give my answer in degrees. Yes, the sine, on the first period, takes on the value of 1 at π radians, but that's not the angle-measure type they're wanting, and using this as my answer would probably result in my at least losing a few points on this question.

So, in degrees, my answer is:

x = 90°

Answer 2

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