Asked by mier
verify the identities COSX OVER 1PLUS SINX PLUS 1PLUS SINX OVER COSX IS EQUAL TO 2SEC.
Answers
Answered by
Damon
cos/(1+sin) + (1+sin)/cos
cos^2/[ cos(1+sin) ] +(1+sin)^2 /[cos(1+sin)]
(cos^2 + 1 + 2 sin + sin^2)/[cos(1+sin)]
but cos^2 + sin^2 = 1
( 2 + 2 sin) /[cos(1+sin)]
2 (1+sin)/[cos(1+sin)]
2/cos
which is
2 sec
cos^2/[ cos(1+sin) ] +(1+sin)^2 /[cos(1+sin)]
(cos^2 + 1 + 2 sin + sin^2)/[cos(1+sin)]
but cos^2 + sin^2 = 1
( 2 + 2 sin) /[cos(1+sin)]
2 (1+sin)/[cos(1+sin)]
2/cos
which is
2 sec
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.