Asked by mitch
Verify cos(x-3pi/2)=-sin x
Answers
Answered by
Bosnian
3 pi / 2 = 270 °
sin ( 3 pi / 2 ) = sin 270 ° = - 1
cos ( 3 pi / 2 ) = cos 270 ° = 0
cos ( A - B ) = cos A cos B + sin A sin B
In this case :
cos ( x - 3 pi / 2 ) = cos ( x ) * cos ( 3 pi / 2 ) + sin ( x ) * sin ( 3 pi / 2 ) =
cos ( x ) * 0 + sin ( x ) * ( - 1 ) =
0 - sin ( x ) = - sin ( x )
sin ( 3 pi / 2 ) = sin 270 ° = - 1
cos ( 3 pi / 2 ) = cos 270 ° = 0
cos ( A - B ) = cos A cos B + sin A sin B
In this case :
cos ( x - 3 pi / 2 ) = cos ( x ) * cos ( 3 pi / 2 ) + sin ( x ) * sin ( 3 pi / 2 ) =
cos ( x ) * 0 + sin ( x ) * ( - 1 ) =
0 - sin ( x ) = - sin ( x )
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.