Question
Answer
$$cscx-cosxcotx=-c^2o^2stx^2+c^2sx$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}cscx-cosxcotx& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}c^2sx-c^2o^2stx^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-c^2o^2stx^2+c^2sx\end{aligned} $$ | |
| ① | $$ c s c x = c^{1 + 1} s x = c^2 s x $$ |
| ② | $$ c o s x c o t x = c^{1 + 1} o^{1 + 1} s t x^{1 + 1} = c^2 o^2 s t x^2 $$ |
| ③ | Combine like terms: $$ -c^2o^2stx^2+c^2sx = -c^2o^2stx^2+c^2sx $$ |
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