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Verify the identity. cosx+sinx tanx=secx

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Verify the identity. cosx+sinx tanx=secx

asked Nov 20, 2013 in TRIGONOMETRY by abstain12 Apprentice

1 Answer

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Remember Cosx = 1/Secx

Tanx = Sinx/Cosx

Sin^2x+Cos^2x = 1

Left side identity = Cosx+SinxTanx

= Cosx+Sinx*Sinx*Cosx

=Cosx+Sin^2x/Cosx

= Cos^2x+Sin^2x/Cosx

= 1/Cosx

= Secx

= Right side identity.

answered Dec 16, 2013 by william Mentor

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