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Simplify the expression: tan(-x)csc(x).?

0 votes

A.cos x
B.-cos x
C.sin x
D.sec x
E.-sec x

trigonometric-expressions

asked Jul 9, 2013 in TRIGONOMETRY by anonymous Apprentice

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1 Answer

0 votes

tan(-x)csc(x)

Here

tan(-x)=-tanx

=-tan(x)csc(x)

Using trigonometric quotient rule

tanx=sinx/cosx

csc(x)=1/sinx

Therefore

=-(sinx/cosx)(1/sinx)

=-1/cosx

=-secx

Option E is correct

answered Jul 9, 2013 by bradely Mentor

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