HELP HELP HELP Please due in one hour!!!! 2 questions

EllisD

New member
Joined
Nov 22, 2005
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1
Find the exact value of the following double angle identity and the appropiate reference triangle

sin(-180pie/4)=sin 2( )

Verify the following identities

cscx+1 = 1+sinx
______ = _______
cscx-1 = 1-sinx
 
Guess I'm late. :) Next time, please give the tutors ample time to respond. :wink:
 
For future reference:

The Greek letter is "pi"; "pie" is something you eat.

Numbers after variables and such are easily misconstrued. For instance, if "sin 2(_)" means "sine of two times something", then write "sin(2(_))". But if "sin 2(_)" means "the square of the sine of something", then write "sin<sup>2</sup>(_)" or "sin^2 (_)".

Use single-line formatting, or else LaTeX or "code" tags, as explained in the links in the "Forum Help" pull-down menu at the very top of the page. Your identity, assuming I have interpreted it correctly, would then be:


. . . . .[csc(x) + 1] / [csc(x) - 1] = [1 + sin(x)] / [1 - sin(x)]


...in single-line formatting with appropriate grouping symbols, or else:


. . . . .\(\displaystyle \Large{\frac{\csc{(x)}\mbox{ }+\mbox{ }1}{\csc{(x)}\mbox{ }-\mbox{ }1}\mbox{ }=\mbox{ }\frac{1\mbox{ }+\mbox{ }\sin{(x)}}{1\mbox{ }-\mbox{ }\sin{(x)}}\)


...in LaTeX formatting.

Please also note that the tutors are volunteers who surf by as they can. There is no paid staff waiting on-hand to give instant replies. Start work on your homework right away. If/when you need help, please show how far you have gotten, and then expect to wait, as noted earlier, hours, if not days, for an online reply.

Thank you for your consideration.

Eliz.
 
Hello, EllisD!

Verify: .\(\displaystyle \frac{\csc(x)\,+\,1}{\csc(x)\,-\,1}\:=\:\frac{1\,+\,\sin(x)}{1\,-\,\sin(x)}\)
Multiply top and bottom of the left side by \(\displaystyle \sin(x)\)
 
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