1.4-bo'lim: Trig tenglamalarini yechish
Kalkulyatordan foydalanmasdan quyidagi tenglamalar yechimini toping. Agar interval berilgan bo'lsa, faqat intervalda bo'lgan echimlarni toping. Agar interval berilmasa, tenglamaning barcha yechimlarini toping.
- \(4\sin \left( {3t} \right) = 2\) Yechim
- \(4\sin \left( {3t} \right) = 2\) in \(\displaystyle \left[ {0,\frac{{4\pi }}{3}} \right]\) Yechim
- \(\displaystyle 2\cos \left( {\frac{x}{3}} \right) + \sqrt 2 = 0\) Yechim
- \(\displaystyle 2\cos \left( {\frac{x}{3}} \right) + \sqrt 2 = 0\) in \(\left[ { - 7\pi ,7\pi } \right]\) Yechim
- \(4\cos \left( {6z} \right) = \sqrt {12} \) in \(\displaystyle \left[ {0,\frac{\pi }{2}} \right]\) Yechim
- \(\displaystyle 2\sin \left( {\frac{{3y}}{2}} \right) + \sqrt 3 = 0\) in \(\displaystyle \left[ { - \frac{{7\pi }}{3},0} \right]\) Yechim
- \(8\tan \left( {2x} \right) - 5 = 3\) in \(\displaystyle \left[ { - \frac{\pi }{2},\frac{{3\pi }}{2}} \right]\) Yechim
- \(16 = - 9\sin \left( {7x} \right) - 4\) in \(\displaystyle \left[ { - 2\pi ,\frac{{9\pi }}{4}} \right]\) Yechim
- \(\displaystyle \sqrt 3 \tan \left( {\frac{t}{4}} \right) + 5 = 4\) in \(\left[ {0,4\pi } \right]\) Yechim
- \(\sqrt 3 \csc \left( {9z} \right) - 7 = - 5\) in \(\displaystyle \left[ { - \frac{\pi }{3},\frac{{4\pi }}{9}} \right]\) Yechim
- \(\displaystyle 1 - 14\cos \left( {\frac{{2x}}{5}} \right) = - 6\) in \(\displaystyle \left[ {5\pi ,\frac{{40\pi }}{3}} \right]\) Yechim
- \(\displaystyle 15 = 17 + 4\cos \left( {\frac{y}{7}} \right)\) in \(\left[ {10\pi ,15\pi } \right]\) Yechim