Asked by Kk
Find the exact value of
Sin ( sin-1. 9/41 - cos-1 (-5/13)
Sin ( sin-1. 9/41 - cos-1 (-5/13)
Answers
Answered by
Reiny
let sin-1. 9/41 = ß and cos-1 (-5/13 = Ø
so sin ß = 9/41 and cos ß = 40/41
and cosØ = -5/13 and sinØ = 12/13
then Sin ( sin-1. 9/41 - cos-1 (-5/13)
= sin(ß - Ø)
= sinßcosØ - cosßsinØ
= (9/41)(-5/13) - (40/41)(12/13) = -525/533
so sin ß = 9/41 and cos ß = 40/41
and cosØ = -5/13 and sinØ = 12/13
then Sin ( sin-1. 9/41 - cos-1 (-5/13)
= sin(ß - Ø)
= sinßcosØ - cosßsinØ
= (9/41)(-5/13) - (40/41)(12/13) = -525/533
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.