cos² 45° × tan 330°
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Cos 45= (1/2 √2)^2
tan 330= tan (360-30)= -tan 30= -1/3√3
Cos^2 45 x tan 330
=(1/2√2)^2 x -1/3√3
=1/4.2 x -1/3√3
=1/2 x -1/3√3
=-√3/6
^ =pangkat
Semoga membantu. maaf kalau salah ^^
tan 330= tan (360-30)= -tan 30= -1/3√3
Cos^2 45 x tan 330
=(1/2√2)^2 x -1/3√3
=1/4.2 x -1/3√3
=1/2 x -1/3√3
=-√3/6
^ =pangkat
Semoga membantu. maaf kalau salah ^^
Penjelasan dengan langkah-langkah:
[tex] \: [/tex]
[tex]\begin{gathered}\begin{gathered}\begin{aligned} \sf &=\sf cos^{2} {45}^{o} \times tan330^{o} \\ \sf &=\sf cos^{2} {45}^{o} \times tan150 ^{o} \times {180}^{ o } \\ \sf &= \sf cos ^{2} {45}^{o} \times tan {150}^{o} \\ \sf &= \sf ( \frac{ \sqrt{2} }{2} ) ^{2} \times ( - \frac{ \sqrt{3} }{3} ) \\ \sf &= \sf - \frac{\sqrt{3}}{6} \end{aligned}\end{gathered}\end{gathered}[/tex]
[answer.2.content]