1.5-bo'lim : Trig tenglamalarni kalkulyator yordamida yechish, I qism
Quyidagi tenglamalarning yechim(larini) toping. Agar interval berilgan bo'lsa, faqat intervalda bo'lgan echimlarni toping. Agar interval berilmasa, tenglamaning barcha yechimlarini toping.
- \(\displaystyle 2 - 14\sin \left( {\frac{t}{3}} \right) = 5\)
- \(4\cos \left( {4x} \right) + 8 = 10 - \cos \left( {4x} \right)\)
- \(2\tan \left( {3w} \right) + 3 = 25\)
- \(\left[ {0,15} \right]\) da \(\displaystyle 2\sin \left( {\frac{{3x}}{5}} \right) - \frac{7}{5} = \frac{1}{5}\)
- \(\left[ { - 20,5} \right]\) da \(\displaystyle 1 = 3 + 8\cos \left( {\frac{w}{2}} \right)\)
- \(\left[ { - 10,20} \right]\) da \(\displaystyle 45\sin \left( {\frac{x}{2}} \right) - 9 = 7\sin \left( {\frac{x}{2}} \right) + 17\)
- \(\left[ {0,1} \right]\) da \(\displaystyle \frac{2}{3} = 4 - 3\sec \left( {11x} \right)\)
- \(\left[ {2,5} \right]\) da \(3\sin \left( {4v} \right) + 18\cos \left( {4v} \right) = 0\)
- \(\left[ { - 10,30} \right]\) da \(\displaystyle 2\left( {\cos \left( {\frac{{2t}}{7}} \right) + 3} \right) = 7\cos \left( {\frac{{2t}}{7}} \right) + 6\)
- \(\left[ {0,32} \right]\) da \(\displaystyle \frac{1}{2}\csc \left( {\frac{y}{3}} \right) - \frac{{10}}{7} = \frac{3}{{14}}\)
- \(\displaystyle 31 = 1 + 40\cos \left( {\frac{t}{8}} \right)\), \(\left[ { - 50,60} \right]\)
- \(\left[ {1,2} \right]\) da \(15\csc \left( {15x} \right) + 14 = 20 - 12\csc \left( {15x} \right)\)
- \(\left[ {0,5} \right]\) da \(\displaystyle \frac{1}{2}\cos \left( {6t} \right) + 3 = 1 + \frac{1}{3}\cos \left( {6t} \right)\)
- \(\left[ {0,15} \right]\) da \(\displaystyle 4\left( {1 - 2\sec \left( {\frac{z}{5}} \right)} \right) = 12\)
- \(\left[ { - 60,60} \right]\) da \(\displaystyle 11 - 7\sin \left( {\frac{{2x}}{{13}}} \right) = 23 - 19\sin \left( {\frac{{2x}}{{13}}} \right)\)