9.4E: Jumla ya bidhaa na Bidhaa kwa-Jumla Formula (Mazoezi)

Last updated
Save as PDF

Page ID: 178203

\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

Kwa mazoezi yafuatayo, tathmini bidhaa kwa maneno yaliyotolewa kwa kutumia jumla au tofauti ya kazi mbili. Andika jibu halisi.

30. \(\cos \left(\frac{\pi}{3}\right) \sin \left(\frac{\pi}{4}\right)\)

31. \(2 \sin \left(\frac{2 \pi}{3}\right) \sin \left(\frac{5 \pi}{6}\right)\)

32. \(2 \cos \left(\frac{\pi}{5}\right) \cos \left(\frac{\pi}{3}\right)\)

Kwa mazoezi yafuatayo, tathmini jumla kwa kutumia formula ya bidhaa. Andika jibu halisi.

33. \(\sin \left(\frac{\pi}{12}\right)-\sin \left(\frac{7 \pi}{12}\right)\)

34. \(\cos \left(\frac{5 \pi}{12}\right)+\cos \left(\frac{7 \pi}{12}\right)\)

Kwa mazoezi yafuatayo, mabadiliko ya kazi kutoka kwa bidhaa hadi jumla au jumla kwa bidhaa.

35. \(\sin (9 x) \cos (3 x)\)

36. \(\cos (7 x) \cos (12 x)\)

37. \(\sin (11 x)+\sin (2 x)\)

38. \(\cos (6 x)+\cos (5 x)\)