Asked by Kelly
Hi! My teacher told my class that the answer to this question is "1-sin x/cosx" but she wants us to figure out why. I tried solving it but I didn't end up with the answer given. Can someone help me? Thank you!
Problem: cos x/1+sinx
Problem: cos x/1+sinx
Answers
Answered by
Reiny
A little "trick" needed here
cosx/(1+sinx) , (those brackets are essential)
= cosx/(1+sinx) * (1-sinx)/(1-sinx) ---> I multiplied by a version of 1, thus changing the appearance but not the value of the expression
= cosx(1-sinx)/(1 - sin^2 x)
= cosx(1-sinx)/cos^2 x
= (1-sinx)/cosx ----- again, I need those brackets.
cosx/(1+sinx) , (those brackets are essential)
= cosx/(1+sinx) * (1-sinx)/(1-sinx) ---> I multiplied by a version of 1, thus changing the appearance but not the value of the expression
= cosx(1-sinx)/(1 - sin^2 x)
= cosx(1-sinx)/cos^2 x
= (1-sinx)/cosx ----- again, I need those brackets.
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.