A community for students.
Here's the question you clicked on:
 0 viewing
drasti1211
 3 years ago
simplify:sec^2x/cot^2x+1
drasti1211
 3 years ago
simplify:sec^2x/cot^2x+1

This Question is Closed

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1\[\space \space \space \sec^2x \div (\cot^2x + 1)\] \[=\frac{1}{\cos^2x} \div \left(\frac{\cos^2x}{\sin^2x} + 1\right)\] \[=\frac{1}{\cos^2x} \div \left(\frac{\cos^2x}{\sin^2x} + \frac{\sin^2x}{\sin^2x}\right)\] \[=\frac{1}{\cos^2x} \div \left(\frac{1}{\sin^2x} \right)\] \[=\frac{1}{\cos^2x} \times \left(\frac{\sin^2x}{1} \right)\] \[=\frac{\sin^2x}{\cos^2x}\] \[=\tan^2x\]

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0in my txbook the answer is tan^2x

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1There's a negative in front that cannot be ignored

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1Are you sure you wrote down the problem correctly?

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0k it was sec not sec sorry i just wrote it : instead of writing it :

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0can u plz help me with other one?

Hero
 3 years ago
Best ResponseYou've already chosen the best response.1\[\cot x  \cos^3x \csc x \\=\frac{\cos x}{\sin x}  \frac{\cos^3x}{\sin x} \\=\frac{\cos x  \cos^3x}{\sin x} \\=\frac{\cos x(1  \cos^2x)}{\sin x} \\=\frac{\cos x(\sin^2x)}{\sin x} \\=\cos x \sin x \]

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0thank you so much u rock!i wish u were my pre cal teacher

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0wait how did u get cos^3xcosx=cosx(1cos^2x) ?

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0can't we just subtract it out?

drasti1211
 3 years ago
Best ResponseYou've already chosen the best response.0k i get what u did !thanks for all ur help
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.