Show all your work for Questions 1 and multiple choice questions( also write the formula that you use for question 1- Sum, Difference, or double angel identities, etc...)

1. If ZA and Z'B are both in quadrant I, and sin A = = and cos B = > , evaluate each of the following. Make a Diagram showing where ZA and 2'B are located and Label the GIVEN information then find the missing values of cos( 4)=- and sin (B)=- . Then use all these values and apply to the following Identities. All values ANSWERED as EXACT VALUES OR IN A FRACTION FORMAT. SHOW ALL WORK!! x ty=p a) DIAGRAM FOR A (4 Marks). b) DIAGRAM FOR B (4 Marks). cos ( A)= sin ( B)= b) cos (A - B) (4 Marks) c) sin (A + B) (4 Marks)2. Which equation is a quotient identity? A. C. cote - 1 cote - sine B. sine D. cote - cote - COSO sine 3. Which equation is a Pythagorean identity? A. 1 + tan 0 = sec-6 C. 1 - tan30 = sec30 B. cot 0- 1 = csc 6 D. sin e - cos 0 = 1 4. What does the expression cot Osin Cesc O simplify to? A. cote C. cose B. tand D. sme 5. Which of the following sets is the set of reciprocal trigonometric ratios? A. csc 6, sec 0, and cot C. sin O, cac O, and cot B. sec O, cos 6, and cot O D. csc 0, sec O, and tan O 6. What is an equivalent expression for cot A? A. 1 C. 1 sin A COS A B. D. 1 tan A secA 7. Which expression is comivalent to cosx cosy - six siny? A. sin(x + )) C. sin(x - y) B. cos(x + y) D. cos(x - Y) 8. Which expression is equivalent to- tan A - tan B 1 + tan Atan B - A. tan(A + B) C. tan(A - B) B. COP(A + B) D. cot(A - B) 9. Determine the exact value of cos 150. A. 21/2 C. 6- Z B. 2 /2 D. 6 + 2 3 10. Simplify cos 190 cos 1610 - sin 190 sin 1619. A. 0 C. -1 B. undefined D. 1