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anonymous
 5 years ago
Simplify the trigonometric expression.
cos[x]/sec[x] + sin[x]/csc[x]
anonymous
 5 years ago
Simplify the trigonometric expression. cos[x]/sec[x] + sin[x]/csc[x]

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0secx = (1/cosx) cscx =(1/sinx) therefore cos[x]/sec[x] + sin[x]/csc[x] = (cosx)^2 + (sinx)^2 = 1

gw2011
 5 years ago
Best ResponseYou've already chosen the best response.0The expression simplifies to 1. It is found in the following manner: sec[x] is 1/cos[x] which makes the first term = (cos[x]) (cos[x]) = cos^2[x]; and csc[x] is 1/sin[x] which makes the second term = (sin[x]) (sin[x]) = sin^2[x]). The expression now becomes cos^2[x] + sin^2[x] = 1.
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