This is all the information we are given to work out the problem. this is what I have worked out so far:
- COS B = = 2 COS ( A - B ) . CoS A T sin CA- B) .sinA " Now) COS B = COS CA-B ) . COS A + sin ( A-B ) . sinA (3) 2 we know that cos ( A-B ) = Cos ( A) , COS(B ) + sin(A) - Sin(B) Plug it in to ( 3) cos B = ( COSA . COS B + SinA - sinB ) . cosA + sin (A - B ) . sinA move sincA - B) . Sin A to the left side and solve . - SincA - B) . SinA = Cos A . cosB +sinA. sinB . cos A - CosB sin A) - 1 : and Divide by ( - 1 ) ning Sin CA-BJ = (COSA . COSB - SinA . SinB) - cosA + COSB Sin A Sin ( A - B) = ( COSA . COSB . .- SHA . sinB . COSA ) + COSB SinAweek so show that sin (AB ) = sinA . cos B- cos B A A CCOSA , sinAl ( A - B) A-B ) ( COSA-B ), 'Sin ( A-B ) ) B CUSB , Sin B B 10 ( 1 , 0 ) Distance from A to ( AB )= N C Cos (A-B ) = COSAJ Z t ( sinCA- B ) - SinAs simpity : - 125. COS ( A - B )2 - 2 (OS ( A - B ) . COSA + COSA + Sin(A-B) - 2 Sin (A-B) + simA 2 17 1 - R C o S CA-BY . PCBSA - 25 in ( A - B ) . sin(A ) . 2 0) 2 - COS CA - B. ) . COSA + sin (A - B ) . sin(A) CO Distance from : B too = N ( 1 - CosB ) + CO - SinB)? = 1 - 2 COS B + COSB to + sing x (1 + 1) - 2 COSB - (7 ) = ) - COSB ( ) E set (D and ( 2) equale to each other and simplify;-M Inbox (3) X MATH 11 X Week 4 F X Week 5 F X Week 6 F X Week 7 F X Week 8 F X RIT 17_Ambi X Week 9 F X Homewc X Week 6 F X + X C O File | C:/Users/lala/Downloads/Week%206%20Reporter%20Question.pdf G Q O U E Week 6 Reporter Question.pdf 1 / 1 80% + MATH 1151 - Reporter Question for Activity 3C Due Tues. Oct. 18 Your in-class verbal communication skills are complemented by written communication assignments. The goal of these assignments is to improve your written mathematical communication skills while asking questions in a thoughtful way to test your understanding of the basic concepts of the course. On Wednesday, you were given Part II of a worksheet about angle sum formulas. Alternate Proof of Sine Angle Sum Formula A - B B Show that sin(A - B) = sin A cos B - cos Asin B One method is to perform the following steps: . Label the coordinates for points associated with the angles A, B, A - B and 0 using the functions sin and cos. Write the distance from A to A - B and the distance from B to 0 . Set these two distances equal to each other and simplify. . It will simplify to an expression for cos B. That is, you will be left with an equation of the form cos B = some stuff. The stuff will include cos(A - B) and sin(A - B). . We already showed that cos(A - B) = cos A cos B + sin Asin B, so you can use that substitution. That will leave you with an equation that will include sin(A - B), sin A, cos B, cos A and sin B. Solve this equation for sin(A - B) and simplify. Type here to search . USD... ~ D ( () ENG 7:01 PM 11/6/2022 E
