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.
- \(10\cos \left( {8t} \right) = - 5\)
- \(\displaystyle \left[ { - \frac{\pi }{4},\frac{\pi }{4}} \right]\) da \(10\cos \left( {8t} \right) = - 5\)
- \(\displaystyle 2\sin \left( {\frac{z}{4}} \right) = \sqrt 3 \)
- \(\left[ {0,16\pi } \right]\) da \(\displaystyle 2\sin \left( {\frac{z}{4}} \right) = \sqrt 3 \)
- \(\left[ {0,5\pi } \right]\) da \(\displaystyle 2\sin \left( {\frac{{2t}}{3}} \right) + \sqrt 2 = 0\)
- \(\displaystyle \left[ {0,\frac{{5\pi }}{3}} \right]\) da \(\sqrt 6 = - \sqrt 8 \cos \left( {3x} \right)\)
- \(\left[ { - \pi ,0} \right]\) da \(10 + 7\tan \left( {4x} \right) = 3\)
- \(\displaystyle 0 = 2\cos \left( {\frac{y}{2}} \right) - \sqrt 2 \), \(\left[ { - 4\pi ,5\pi } \right]\)
- \(\left[ { - \pi ,\pi } \right]\) da \(3\cos \left( {5z} \right) - 1 = 7\)
- \(\displaystyle \left[ {\frac{\pi }{3},2\pi } \right]\) da \(7\sqrt 3 + 7\cot \left( {2w} \right) = 0\)
- \(\displaystyle 2\csc \left( {\frac{x}{3}} \right) + \sqrt 8 = 0\), \(\left[ {0,2\pi } \right]\)
- \(3 - 4\sin \left( {4t} \right) = 5\)in \(\displaystyle \left[ { - \frac{{3\pi }}{2}, - \frac{\pi }{2}} \right]\)
- \(\displaystyle 3\sec \left( {\frac{y}{5}} \right) + 9 = 15\)in \(\left[ { - 3\pi ,20\pi } \right]\)
- \(\sqrt {12} \cos \left( {2z} \right) - 2\sin \left( {2z} \right) = 0\), \(\displaystyle \left[ {\frac{{3\pi }}{2},2\pi } \right] \)