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Home Question Bank Math Trigonometry Archive 2025 January 10

Trigonometry Questions from Jan 10,2025

Browse the Trigonometry Q&A Archive for Jan 10,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Graficar \( y=4 \operatorname{sen} 2 x \) Graficar \( y=4 \operatorname{sen} 2 x \) \( \sin ( \alpha + \beta + \frac { \pi } { 4 } ) - \cos ( \alpha + \beta + \frac { \pi } { 4 } ) - \sqrt { 2 } \sin ( \alpha + \beta \) \( \sin ^ { 2 } ( x + y ) \) \( \sin ^ { 2 } ( x + y ) + \sin ^ { 2 } ( x - y ) - 2 \cos ^ { 2 } y \) 5. You are on the boat from which your friend Dan is diving. He descended at an angle of \( 40^{\circ} \) relative to the wate's sufface, and now you can see his bubbles at a point that is 90 ft away along the water's sufface. How deep is Dan? 6. An aipplane flying at an atritude of 18,200 fi descends at an angle of \( 4^{\circ} \) relative to horizontal. 5. You are on the boat from which your friend Dan is diving. He descended at an angle of \( 40^{\circ} \) relative to the water's surface, and now you can see his bubbles at a point that is 90 ft away along the water's surface. How deep is Dan? 6. An airplane flying at an altitude of \( 18,200 \mathrm{ft} \) descends at an angle of \( 4^{\circ} \) relative to horizontal. إذا كان لديك مثلث قائم، حيث طول أحد الضلعين القائمين هو 8 وحدات وطول الوتر هو 12 وحدات، احسب قيمة الزاوية التي تقابل الضلع 8. \( \operatorname{Tan} 30^{\circ} \tan 60^{\circ}= \) \( \qquad \) a. \( \operatorname{Sin} 30^{\circ} \). b. \( \operatorname{Tan} 30^{\circ} \). c. \( \tan 45 \) d. \( \operatorname{Cos} 60 \) 36 Si sen \( \alpha=0,15 \) y \( \cos \beta=0,45 \) halla las razones trigonométricas del ángulo \( 2 \alpha+\beta \).
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