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Posted by **Tasha** on Sunday, July 15, 2012 at 6:29pm.

1. (sin4x - cos4x)/(sin2x -cos2x)

2. (sinx(cotx)+cosx)/(2cotx)

- Trigonometry -
**Reiny**, Sunday, July 15, 2012 at 7:12pm1.

I am sure you mean

(sin^4 x - cos^4 x)/(sin^2 x - cos^2 x)

= (sin^2 x + cos^2 x )((sin^2 x - cos^2 x)/(sin^2 x - cos^2 x)

= (sin^2 x + cos^2 x)

=1

2.

(sinx(cotx)+cosx)/(2cotx)

= (sinx(cosx/sinx) + cosx)/(2cosx/sinx)

= (cosx + cosx)(sinx/(2cosx)

= 2cosx(sinx)/(2cosx)

= sinx

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