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GOODMAN
 2 years ago
Verify that this is an identity.
sec(beta)+csc(beta)
All over: 1+tan(beta)
is equal to=csc(beta)
GOODMAN
 2 years ago
Verify that this is an identity. sec(beta)+csc(beta) All over: 1+tan(beta) is equal to=csc(beta)

This Question is Closed

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm maybe rewrite tan B as \(\frac{\sin B}{\cos B}\)?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{sec\beta + csc\beta}{1+tan\beta} = \frac{\frac{sin\beta+cos\beta}{sin\beta cos\beta}}{\frac{sin\beta + cos\beta}{cos\beta}} = \frac{1}{sin\beta}=csc\beta\]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1How can I make it bigger?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\frac{1}{\cos B} + \frac{1}{\sin B}}{\frac{\cos B + \sin B}{\cos B}}\] \[\frac{\frac{\sin B + \cos B}{\sin B \cos B}}{\frac{\cos B + \sin B}{\cos B}}\] \[\frac{\frac{1}{\sin B \cos B}}{\frac{1}{\cos B}}\]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0ugh @Callisto said it :P

GOODMAN
 2 years ago
Best ResponseYou've already chosen the best response.0No..wait..im still a little confused, how did you guys split it?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \frac{1}{\sin B} = \csc B\]

GOODMAN
 2 years ago
Best ResponseYou've already chosen the best response.0Yes..i know that, i know the basic identities.

GOODMAN
 2 years ago
Best ResponseYou've already chosen the best response.0I mean, like the second and third step you did.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \sec B + \csc B = \frac{1}{\cos B} + \frac{1}{\sin B}\] LCD \[\frac{\sin B + \cos B}{\sin B \cos B}\]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{cos \beta} + \frac{1}{sin\beta} = \frac{1(sin\beta)}{cos \beta sin\beta} + \frac{1(cos \beta)}{sin\beta cos \beta} =\frac{sin\beta +cos\beta}{sin\beta cos\beta} \]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[1 + \tan B = \frac{\cos B}{\cos B} + \frac{\sin B}{\cos B}\]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\sin B + \cos B}{\cos B}\]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1\[1+tan\beta = 1+ \frac{sin\beta}{cos\beta} = \frac{cos\beta}{cos\beta} +\frac{sin\beta}{cos\beta} = \frac{sin\beta+cos \beta}{cos\beta} \]

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0the \(\sin B + \cos B\) cancels

GOODMAN
 2 years ago
Best ResponseYou've already chosen the best response.0Oh..okayy...basically i had to lay out the fractions? Arghh this stuff is weird.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{\frac{1}{\sin B \cos B}}{\frac{1}{\cos B}}\]\[\frac{\cos B}{\sin B \cos B}\]

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1When you make it like that, it's easier to simplify~ Maths is weird in nature... I think :S

GOODMAN
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, I think i got it from here, thanks :D
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