Asked by Jossie
determine the general solution...2.sin(2x+30)=tan 135
Answers
Answered by
Reiny
The 135 suggests that you are working in degrees, so
2 sin(2x+30) = tan 135°
2sin(2x+30) = -1
sin(2x + 30) = -1/2
sine is negative in III and IV
so 2x+30 = 210 or 2x+30 = 330
2x = 180 or 2x = 300
x = 90 or x = 150
The period of sin(2x+30) is 360°/2 or 180°
so general solutions are:
90° + 180k° or 150° + 180k°
2 sin(2x+30) = tan 135°
2sin(2x+30) = -1
sin(2x + 30) = -1/2
sine is negative in III and IV
so 2x+30 = 210 or 2x+30 = 330
2x = 180 or 2x = 300
x = 90 or x = 150
The period of sin(2x+30) is 360°/2 or 180°
so general solutions are:
90° + 180k° or 150° + 180k°
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.