Sin(x)csc(x)?

2 Answers
Mar 7, 2018

color(green)(=> 1

Explanation:

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sin x * csc x = sin x * (1 / sin x) using fundamental identities.

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

Mar 7, 2018

\qquad \qquad \qquad \qquad \qquad sin(x) csc(x) \ = \ 1.

Explanation:

"Recall the definition of the" \ \ csc \ \ "function":

\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad csc(x) \ = \ 1/sin(x).

"Thus, at once:"

\qquad \qquad \qquad \qquad \quad \ \ sin(x) csc(x) \ = \ sin(x) cdot 1/sin(x) \ = \ 1.

"That's it !!"