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Verify: List Steps please. Tan(x)+Cot(x)=Csc(x)Sec(x)

0 votes

Write all the steps you used

asked Dec 5, 2013 in TRIGONOMETRY by rockstar Apprentice

1 Answer

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We know that Tanx = Sinx/Cosx

Cotx = Cosx/Sinx

1/Cosx = Secx and Cscx = 1/Sinx

And the identity is Sin^2x+Cos^2x = 1

Left hand side = tan(x)+cot(x)

= sin(x)/cos(x)+cos(x)/sin(x)

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

= 1/cos(x)sin(x)

= 1/cos(x)*1/sin(x)

= Sec(x)Csc(x)

= Csc(x)Sec(x)

= Right hand side.

answered Dec 5, 2013 by william Mentor

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