Asked by Bright ulubi
2Sin tita+2Cos tita=1.5.find tita
Answers
Answered by
Steve
That's <b>theta</b> not tita
For ease of typing, I'll just use x.
2sinx + 2cosx = 1.5
sinx + cosx = 3/4
Now, since sin 45° = cos 45° = 1/√2,
sinx + cosx = √2 sin(x+45°)
Now we have
sin(x+45°) = 3/(4√2) = 0.53033
x+45° = 32°
x = -13°
You probably want values in [0,360°), so
x = 193° or 347°
For ease of typing, I'll just use x.
2sinx + 2cosx = 1.5
sinx + cosx = 3/4
Now, since sin 45° = cos 45° = 1/√2,
sinx + cosx = √2 sin(x+45°)
Now we have
sin(x+45°) = 3/(4√2) = 0.53033
x+45° = 32°
x = -13°
You probably want values in [0,360°), so
x = 193° or 347°
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.