Match each item to a choice: Show that Sn = ER=o (z) an-kbk for n = 1. Assume S; is true, ( at b ) ' = > (;) akbk K = 0 - (o) a " + ( " ) at -ab + ( 2 ) at -232 + .". + ( , " , Jabi-a + ( " ) be Then, show that Sk+1 is true using Sk- The Binomial Theorem is proved. S1 = (at b) 1 = atb = (8) at + (7 ) at -16+ 1 K = 0 Proof Let Sn = (at b)n Since the truth of Sk+1 follows from Sk, the formula is true for all n.Prove that sin 0 + sin 0 cot2 0 = csc 0 Match each item to a choice: Step 1 Step 2 Step 3 Step 4 Step 5 Choices: sin 0 + sin 0 cot2 0 = csc 0 sin 0 + sin 0 cot2 0 = sin 0( sin 2 sin 0 + sin 0 cot* 0 = sin 0(1 + cot2 0) sin 8 + sin 0 cot2 0 = sin 0(csc? 0) sin 0 + sin 0 cot2 0 = sin 0 Question 1 of 2 15 Points Prove that tan 0 = sec 0 sin 0 Match each item to a choice: Step 1 Step 2 Step 3 Step 4 Step 5 Choices: tan 0 sin 0 1 = X sin 0 cos O sin 0 tan 0 sin 0 X sin 0 sin 0 cos 0 tan 0 = sec 0 sin 0 tan 0 = tan 0 x sin 0 sin 0 tan 0 sin 0 cos e