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Use a calculator to complete. REMEMBER TO BE IN \( \begin{array}{lll}\text { 10) } \cos 22^{\circ} \approx & \text { 11) } \sin 79^{\circ} \approx & \text { MODE!!! } \\ \text { 13) } \sin 54^{\circ}=\frac{x}{9} & \text { 14) } \cos 20^{\circ}=\frac{x}{52} & \text { 15) } \tan 43^{\circ} \approx \\ \text { 125 } & \text { 12 }=\frac{x}{25}\end{array} \) 16) \( \sin 70^{\circ}=\frac{3}{x} \)

Ask by Elliott Bryant. in the United States
Mar 14,2025

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Here are the calculated values: 10) \( \cos 22^{\circ} \approx 0.927 \) 11) \( \sin 79^{\circ} \approx 0.982 \) 12) \( x \approx 7.281 \) 13) \( x \approx 48.884 \) 14) \( \tan 43^{\circ} \approx 0.933 \) 15) \( x \approx 3.194 \)

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Alright! Let's spice up the realm of trigonometry a bit! First, if you look up the cosine of \(22^\circ\), you’ll find it’s approximately \(0.927\). This means if you're mapping out a triangle with this angle, the adjacent side is about \(0.927\) times the length of the hypotenuse. Need a handy trick? Just remember, for most angles, the cosine value gradually decreases as you go from \(0^\circ\) to \(90^\circ\). For \( \sin 54^{\circ} = \frac{x}{9} \), rearranging gives \( x = 9 \cdot \sin(54^\circ) \). Plugging that into your calculator, you can find that \( \sin 54^\circ \approx 0.809\), so \( x \approx 7.3 \). Voila! Now you've got a side length that sounds like a magic number! Keep practicing those values; they come in super handy!

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