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. Bular kalkulyatordan foydalanishni talab qiladi, shuning uchun ishingizda kamida 4 kasrdan foydalaning.

1. \(7\cos \left( {4x} \right) + 11 = 10\) Yechim
2. \(\displaystyle 6 + 5\cos \left( {\frac{x}{3}} \right) = 10\) in \(\left[ {0,38} \right]\) Yechim
3. \(\displaystyle 3 = 6 - 11\sin \left( {\frac{t}{8}} \right)\) Yechim
4. \(\displaystyle 4\sin \left( {6z} \right) + \frac{{13}}{{10}} = - \frac{3}{{10}}\) in \(\left[ {0,2} \right]\) Yechim
5. \(\displaystyle 9\cos \left( {\frac{{4z}}{9}} \right) + 21\sin \left( {\frac{{4z}}{9}} \right) = 0\) in \(\left[ { - 10,10} \right]\) Yechim
6. \(\displaystyle 3\tan \left( {\frac{w}{4}} \right) - 1 = 11 - 2\tan \left( {\frac{w}{4}} \right)\) in \(\left[ { - 50,0} \right]\) Yechim
7. \(\displaystyle 17 - 3\sec \left( {\frac{z}{2}} \right) = 2\) in \(\left[ {20,45} \right]\) Yechim
8. \(12\sin \left( {7y} \right) + 11 = 3 + 4\sin \left( {7y} \right)\) in \(\left[ { - 2, - \frac{1}{2}} \right]\) Yechim
9. \(5 - 14\tan \left( {8x} \right) = 30\) in \(\left[ { - 1,1} \right]\) Yechim
10. \(\displaystyle 0 = 18 + 2\csc \left( {\frac{t}{3}} \right)\) in \(\left[ {0,5} \right]\) Yechim
11. \(\displaystyle \frac{1}{2}\cos \left( {\frac{x}{8}} \right) + \frac{1}{4} = \frac{2}{3}\) in \(\left[ {0,100} \right]\) Yechim
12. \(\displaystyle \frac{4}{3} = 1 + 3\sec \left( {2t} \right)\) in \(\left[ { - 4,6} \right]\) Yechim