14. Prove the following trigonometric identities. tande a) sindo b) sinxsec?x = sec²x – 1 1+tan28
Prove the following identities. Show all of your steps.(12 marks) https://gyazo.com/c1f6f4d857de7a389117159cb5692f40
2. (14pts) Prove the given identities: a. tan?+2 1+tan? 1 + cos20 b. cos20 1+sino = = 1 - sino
2. (14pts) Prove the given identities: a. tande + 2 1 + tande = 1 + cos20 b. cos20 1+ sine = 1 - sino 7
(b) Use the identities above and the formula for the sum of a geometric series to prove that if n is an integer and je[1,2,..., n) then sin2 (2ntj/n) = n/2 t-1 so long as jメ1n/21, where Ir] is the greatest integer that is smaller than or equal to x. We were unable to transcribe this image (b) Use the identities above and the formula for the sum of a geometric series to prove that if n is an integer...
2. Prove the identities: (9 marks) b) sin β +tan β 1+sec β sin Cosx- sin x = 1-tanx c) = cos2x+sinxcosx
prove the identities g. CSC A-sin A = cos A cot A Solution:
Problem 9 Prove the following identities where o and ø are scalar fields, and F and G are vector fields. Hint: Expand the LHS of each expression and simplify. (a) V. (F) = V.F+F. V. (b) V.( FG) = G.XF-F. VxG (c) V. (Vox V) = 0 (d) V (V x F) = V(V.F) - VF.
2.7 Exercises 43 4. Prove each of the following identities by using the algebraic rules (no truth tables). Several steps may be combined, but make sure that each step is clear (a) a'b b'c + a'c (b) а'd + ac (c) xz' + x'y' + x'z + y'z = y' + x'z + xz' (d) ad' a'b' + c'd + a'c' + b'd = ad' + (bc' (e) xy' z(x' + y + w) (f) a'z' yz + xy' =...
3. Prove the Cofunction Identity for sin (-0) = cos using Sum/Difference identities