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MATH SOLVE
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"Verify the identity of (sinx cosx)^2/sinx cosx = 2 + secx cscx"this is for a friend and she's needi...
4 months ago
Q:
"Verify the identity of (sinx cosx)^2/sinx cosx = 2 + secx cscx"this is for a friend and she's needing help big time
Accepted Solution
A:
(sinx + cosx)^2/((sinx)(cosx)) = 2 + (secx)(cscx)
(sinx + cosx)^2/((sinx)(cosx)) = 2 + 1/(sinxcosx); subtract 1/sinxcosx both sides
(sinx + cosx)^2/((sinx)(cosx)) - 1/(sinxcosx)= 2; multiply through by sinxcosx
(sinx + cosx)^2 -1 = 2(sinxcosx)
sin^2 + 2sinxcosx + cos^2 - 1 = 2(sinxcosx); since sin^x + cos^2x = 1
1 + 2sinxcosx -1 = 2sinxcosx
2sinxcosx = 2sinxcosx