Question
Answer
$$sin^3scos^2t-sin^3ssin^2t+2sinscos^2s=cin^3os^4t-i^2n^5s^3t+2cinos^5$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}sin^3scos^2t-sin^3ssin^2t+2sinscos^2s& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}cin^3os^4t-i^2n^5s^3t+2cinos^5\end{aligned} $$ | |
| ① | $$ s i n^3 s c o s^2 t = c i n^{3} o s^{1 + 1 + 2} t = c i n^3 o s^4 t $$ |
| ② | $$ s i n^3 s s i n^2 t = i^{1 + 1} n^{3 + 2} s^{1 + 1 + 1} t = i^2 n^5 s^3 t $$ |
| ③ | $$ 2 s i n s c o s^2 s = 2 c i n o s^{1 + 1 + 2 + 1} = 2 c i n o s^5 $$ |
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