only question number 2.Verify the following trigonometric summation formula for m ? 1.Your task on this assignment will be to show that: n=1n2_ 4 9 16 _6 1. Verify the following trigonometric identity. (So long as :L is not an integer multiple of71′ anyway! 🙂  1 _ 1 1 + 1sin2(ac) _ 4 sin2 g) sin2 (%)Hint: Use common trig identities and the fact that for any t, cos(t) = sin (t + g). 2. Verify the following trigonometric summation formula for m 2 1.  2m1m1 2 11 = 4771 2 – 2 £2k+ll?19:0 3111 ( 2m+l ). . . . . 1Hmt: Apply the 1dent1ty from question 1 repeatedly, starting from 1 = Tm. You8111 2 may ?nd the fact that sin(t) = sin(7r t) comes in handy.3. Verify the following limit formula, where k 2 0 is ?xed.  (2k + 1)7r _ (2k + 1)7r211"1 2 lim 2m sin ( TIL>00 Hint: This is really just (a version of) limtno %? = 0 . . .
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