Question
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II. Find the value of each trigonometric ratio using a calculator. Round off your answer in 4 decimal places. Note: Make sure that your calculator is set to degree not radian. \( \begin{array}{ll}\text { Ex. } \sin 67^{\circ}=0.9205 \rightarrow \text { type } \sin (67) \text { on your scientific calculator }\end{array} \) \( \begin{array}{ll}\text { 6. } \sin 12^{\circ}= & \text { 9. } \cos 24^{\circ}= \\ \text { 7. } \cos 14^{\circ}= \\ \text { 8. } \cos 52^{\circ}=\end{array} \)

Ask by Moreno Summers. in the Philippines
Feb 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( \sin(12^\circ) = 0.2079 \), \( \cos(14^\circ) = 0.9703 \), \( \cos(52^\circ) = 0.6157 \), \( \cos(24^\circ) = 0.9135 \).

Solution

Calculate the value by following steps: - step0: Calculate: \(\sin\left(12\right)\) Calculate or simplify the expression \( \cos(24) \). Calculate the value by following steps: - step0: Calculate: \(\cos\left(24\right)\) Calculate or simplify the expression \( \cos(52) \). Calculate the value by following steps: - step0: Calculate: \(\cos\left(52\right)\) Calculate or simplify the expression \( \cos(14) \). Calculate the value by following steps: - step0: Calculate: \(\cos\left(14\right)\) Here are the values of the trigonometric ratios rounded to four decimal places: 6. \( \sin(12^\circ) \approx 0.2079 \) 7. \( \cos(14^\circ) \approx 0.9703 \) 8. \( \cos(52^\circ) \approx 0.6157 \) 9. \( \cos(24^\circ) \approx 0.9135 \) Please ensure your calculator is set to degrees when performing these calculations.

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Bonus Knowledge

To calculate the trigonometric ratios using your calculator, ensure it's set to degrees. For \(\sin 12^\circ\), you should find that it equals approximately 0.2079. Just type \(\sin(12)\) and you’re good to go! Now for the \(\cos\) functions: \(\cos 14^\circ\) should give you around 0.9703, \(\cos 24^\circ\) comes out to about 0.9135, and finally, \(\cos 52^\circ\) will return roughly 0.6157. That's all there is to it—trig made easy!

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