Question

Which expression is equivalent to 1 – cos^2 x?



A.

csc2 x




B.
sec2x




C.
sin2 x




D.
-sec2 x




E.
-sin2 x

Answer 1

\[\sin^2x\]

Answer 2

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

Select one of the options below as your answer:



A.
cos x




B.
-cos x




C.
sin x




D.
sec x




E.
-sec x

Answer 3

\[\frac{ -\sin x \times \csc x }{ \cos x }=\frac{ \sin x \times \frac{ 1 }{\sin x } }{ \cos x }=\frac{ -\sin x }{ \sin x \times \cos x }=\frac{ -1 }{ \cos x }=-\sec x\]