D Question 6 10 pts Use the sum or difference formula to write the expression below. sin(18) cos(27) + 005(180) sin(27) = sin(45) cos(9) cos(45) \" sin(9) Question 5 14 pts The below expression is equal to which of the values that follow? sin2 (60) + cos2 (60) = -\"- (3114600))2 + (cos(60))2 r\". E 1 7+5 4 Previous l Next > Question 11 10 pts To find all solutions in [0, 27] for sin 0 = note that the sine is negative in quadrants III and IV and the reference angle is 0 = arcsin COIN (Reference the figure below.) 0 = arsin WIN 0 = arsin WIN What are the solutions to sin 0 = - in [0, 27]? 0 = arcsin Co/ N IT - arcsin Co | N 0 = arcsin 7 + arcsin 0 = 7 + arcsin 27 + arcsin 0 = 7 + arcsin CO IN 27 - arcsin 0 = T - arcsin , 27 + arcsin(-3, 4) 3 Find sin 0 if cos 0 = - - and csc 0 > 0. sin 0 = sin 0 If I CO sin 0 = sin 0 = | CO sin 0 = Next PreviousD Question 3 10 pts Suppose 0, note that a right triangle in Quadrant II can be used. (Reference figure below.) (-3, 4) 0 Find sin O if cos 0 = 3 and csc 0 > 0. O sin 0 = CO / P O sin 0 = A / COD Question 5 9 pts Suppose 6 is an angle in the third quadrant. Determine the quadrant for 5' Eis in Quadrant /" ||| adjacent III I IV The two right triangles in the gure are similar, so we know the equation below is true. cos(t) adjacent 1 _ hypotenuse Note: Ratio of corresponding sides area equal. Which of the other equations that follow are also true? -"'- 1 _ hypotenuse cos(t) _ opposite "" sin(t) Opposite 1 _ hypotenuse -"'- 1 _ hypotenuse cos(t) _ adjacent _" sin(t) _ Opposite cos (t) _ adjacent Question 7 10 pts Use the sum or difference formula to write the expression below. cos(310) cos(50) sin(310) sin(50) : \"i sin(260) \"' cos(260) \"' cos(360) sin(360) D Question 12 10 pts To find sin cos-1 = sin arccos ( ) you can let 0 = arccos and use the right triangle below. 4 V15 sin arccos O O V15 4 O O V15Question 10 10 pts 711' Which of the equivalent expressions for sin (E) below can be use nd its exact value using a sum or difference formula and values from the unit circle? Choose all that apply. sin 9127? sin 31: 12 12 _ 4 6 \fD Question 8 9 pts Use the right triangle below to write sin (2 cos1(m))as an algebraic expression in a: only where 1 S a: S 1. \fQuestion 9 10 pts Use the sum or difference formula for to write the expression below. cos(40) cos(10) + sin(40) sin(10) = C\"; sin(50) "\"'r cos(30) r'\" sin(30) " cos(50) D Question 7 14 pts Write cosine in terms of sine if tan(0) 0. O cos 0 = V1 - sin2 0 O cos 0 = -(1 - sin 0) O cos 0 = -V1 - sin2 0 O cos 0 = 1 - sin 010 pts Question 2 Find a cofunction with the same value as the expression given below. sin O COS O CSC O COS O secQuestion 10 9 pts Other than this question, you are not responsible for the product-to-sum formulas, listed below, for any assessment. However, these formulas may be used in your calculus class. So, we give you a little practice with the formulas with this question. Product-to-Sum Formulas: 1. sin('u) 003(1)) 2 %[Sin(u + 11)) + sin(u 11)] 2. cos(u) 5111(1)) = %[sin(u + 11)) sin(u 0)] 3. cos(u) 005(1)) = %[cos(u + 12)) l cos(u 11)] 4. sin(u) sin(1)) = %[cos(u 11)) cos(u + 11)] Rewrite the expression below using one of the given formulas. sin(3a:) sin(5:n) Using formula one: sin(3w) sin(5:c) = %[cos(3m + 59:) cos(3m 5%)] Using formula four: sin(3m) sin(5:c) = %[cos(3m + 59:) 605(33} 5w)] " Using formula number four: Question 7 9 pts Which of the expressions that follow is equivalent to the expression given below? 3 sin2 (2:13) (> D Question 1 10 pts Find a cofunction with the same value as the expression given below. cos (120 ) O sec (12 ) O csc(78 ) O sin(78 ) O sin(12 )D Question 8 10 pts Use the sum or difference formula to write the expression below. sin(50) cos(10) cos(50) sin(10) = D Question 4 10 pts Match the step number in the substitution problem with its correct step (I through VI) to complete the substitution given below. Substitute x = 3 sin 0 in v9 - x2 0