Answer all of the questions and provide non permissible values for each.

Trigonometric Identities PC12 CHAPT- 1. Simplify the expression cot Osin ecsc . 2. Simplify the ratio cost to a single primary trigonometric function. 3. Prove that sine cose so , is equivalent to: tan 0 + cote. I 4. Prove that sin20 + 1, is equivalent to (sin e + cos 0)?. 5. Express seca cos a- seca + cost atan a tan of tan a - sina in terms of cosine and sine only, and simplify. 6. Simplify sin 1680 cos 1430 - cos 1680 sin 1430. Round your answer to the nearest hundredth. 7. Which expression is equivalent to sin(2B) , 2 sin? B 8. What is the solution to the equation sinx + 4 cscx + 5 = 0 over the domain 0 S x S 2x? 9. What is the general solution, in radians, to the equation sin 2x + 2 cos x = 0? 10. Find the exact value of cos , cos 18 " + sin , sin 18 . 11. Prove the identity tan20 - sin20 = sin20 tan30. 12. Solve cote+ cote = 0. State the solution in general form. 13. Prove the identity 1 + cose _ since 1 - cose ' 14. Prove the identity cos*0 - sine = 1 -tan 8. cos @ + sin @ cos 8 15. What is the solution to the equation cos 2x + 2 = sinx for 0 S x $ 3600? 16. What is the general solution to tanx(csc x + 2) = 0