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Mathematics 10 Online
OpenStudy (vijay222ms):

Help me?

OpenStudy (vijay222ms):

@jim_thompson5910 @Directrix @jdoe0001 @dan815 @e.mccormick @Kainui @TheSmartOne @Whitemonsterbunny17 @Nnesha @bibby @tHe_FiZiCx99 @camerondoherty

OpenStudy (vijay222ms):

@jagr2713

OpenStudy (vijay222ms):

Click the attachment

OpenStudy (vijay222ms):

@hhelpplzzzz

OpenStudy (vijay222ms):

@bohotness

OpenStudy (anonymous):

srry i dont know

jagr2713 (jagr2713):

sorry i forgot

OpenStudy (bohotness):

d or c

OpenStudy (vijay222ms):

@bohotness how?

OpenStudy (bohotness):

-_-

OpenStudy (mathmath333):

\(\large \begin{align} \color{black}{ \normalsize \color{blue}{\text{use identity} \cos(\theta)=\cos (90-\theta)} \hspace{.33em}\\~\\ \cos^2 2^{\circ}+\cos^2 4^{\circ}+\cos^2 6^{\circ}+\cdot \cdot \cdot \cdot \cdot+ \cos^2 90^{\circ} \hspace{.33em}\\~\\ =\sin^2 88^{\circ}+\sin^2 86^{\circ}+\sin^2 84^{\circ} \hspace{.33em}\\~\\ +\cdot \cdot \cdot \cdot \cdot+\sin^2 2^{\circ}+\sin^2 0^{\circ}-------\color{red}{(1)} \hspace{.33em}\\~\\ \normalsize \color{blue}{\text{use identity} \cos^2 \theta=1-\sin^2 \theta} \hspace{.33em}\\~\\ \cos^2 2^{\circ}+\cos^2 4^{\circ}+\cos^2 6^{\circ}+ \hspace{.33em}\\~\\ \cdot \cdot \cdot \cdot \cdot+\cos^2 90^{\circ} \hspace{.33em}\\~\\ =45-(\sin^2 2^{\circ}+\sin^2 4^{\circ}+\sin^2 6^{\circ}+ \hspace{.33em}\\~\\ \cdot \cdot \cdot \cdot \cdot+\sin^2 90^{\circ})-------\color{red}{(2)} \hspace{.33em}\\~\\ \normalsize \color{blue}{\text{add 1 and 2}} \hspace{.33em}\\~\\ 2(\cos^2 2^{\circ}+\cos^2 4^{\circ}+\cos^2 6^{\circ}+\cdot \cdot \cdot \cdot \cdot+\cos^2 90^{\circ}) \hspace{.33em}\\~\\ =\sin^2 88^{\circ}+\sin^2 86^{\circ}+\sin^2 84^{\circ}+\cdot \cdot \cdot \cdot +\sin^2 2^{\circ}+\sin^2 0^{\circ}+\hspace{.33em}\\~\\ 45-(\sin^2 2^{\circ}+\sin^2 4^{\circ}+\sin^2 6^{\circ}+\cdot \cdot \cdot \cdot \cdot+\sin^2 90^{\circ} \hspace{.33em}\\~\\ =45-\sin^2 90^{\circ} \hspace{.33em}\\~\\ 2(\cos^2 2^{\circ}+\cos^2 4^{\circ}+\cos^2 6^{\circ}+\cdot \cdot \cdot \cdot \cdot+\cos^2 90^{\circ})=44 \hspace{.33em}\\~\\ so~~\hspace{.33em}\\~\\ (\cos^2 2^{\circ}+\cos^2 4^{\circ}+\cos^2 6^{\circ}+\cdot \cdot \cdot \cdot \cdot+\cos^2 90^{\circ})=22 \hspace{.33em}\\~\\ }\end{align}\)

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