Diagnostic test trigonometry

Calculus Early Trascendentals 8th edition Diagnostic Test: Trigonometry 1. 𝐶𝑜𝑛𝑣𝑒𝑟𝑡 𝑓𝑟𝑜𝑚 𝑑𝑒𝑔𝑟𝑒𝑒𝑠 𝑡𝑜 𝑟𝑎𝑑𝑖𝑎𝑛𝑠. 2. 𝐶𝑜𝑛𝑣𝑒𝑟𝑡 𝑓𝑟𝑜𝑚 𝑟𝑎𝑑𝑖𝑎𝑛𝑠 𝑡𝑜 𝑑𝑒𝑔𝑟𝑒𝑒𝑠 3. Find the length of an arc of a circle with radius 12 cm if the arc subtends a central angle of " 〖"30" 〗^𝑜 4. 𝐹𝑖𝑛𝑑 𝑡ℎ𝑒 𝑒𝑥𝑎𝑐𝑡 𝑣𝑎𝑙𝑢𝑒𝑠. 5. 𝐸𝑥𝑝𝑟𝑒𝑠𝑠 𝑡ℎ𝑒 𝑙𝑒𝑛𝑔ℎ𝑡𝑠 𝑎 𝑎𝑛𝑑 𝑏 𝑖𝑛 𝑡ℎ𝑒 𝑓𝑖𝑔𝑢𝑟𝑒 𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝜃 6. 𝐼𝑓 sin⁡𝑥=1/3𝑎𝑛𝑑 sec⁡𝑦=5/4, 7. 𝑃𝑟𝑜𝑣𝑒 𝑡ℎ𝑒 𝑖𝑑𝑒𝑛𝑡𝑖𝑡𝑖𝑒𝑠 8. 𝐹𝑖𝑛𝑑 𝑎𝑙𝑙 𝑣𝑎𝑙𝑢𝑒𝑠 𝑜𝑓 𝑥 𝑠𝑢𝑐ℎ 𝑡ℎ𝑎𝑛 𝑠𝑖𝑛2𝑥=sin⁡〖𝑥 𝑎𝑛𝑑 0≤𝑥≤2𝜋〗 9. 𝑆𝑘𝑒𝑡𝑐ℎ 𝑡ℎ𝑒 𝑔𝑟𝑎𝑝ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛 𝑦=1+𝑠𝑖𝑛2𝑥