Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Hello, I don't underdstand chapter 4.7 problem 87 even with the instructions on this site.  Please help?

I've attached an image of the steps.  I'm lost from sin theta = x/(sqrt1 + x^2).

Where is that coming from?  My class skipped a few chapters so maybe that was explained before?  I was trying to visualize and understand by drawing a triangle on the unit circle but that didn't help.

Calculation:
We have trigonometric expression as follows:
sin (tan-lx)
First solve
tan
Let 0 = tan-x
We have
tan 0=x
sin 0 =
Thus,
0= sin
Now, we have
sin (tan-x) = sin ( sin
Also, we know
sin (sin-!x) = x
Hence, we have
sin ( sin
sin (tan 3) = T
Conclusion:
Hence, we have sin (tan-x)
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Transcribed Image Text:Calculation: We have trigonometric expression as follows: sin (tan-lx) First solve tan Let 0 = tan-x We have tan 0=x sin 0 = Thus, 0= sin Now, we have sin (tan-x) = sin ( sin Also, we know sin (sin-!x) = x Hence, we have sin ( sin sin (tan 3) = T Conclusion: Hence, we have sin (tan-x)
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