hello I want you to solve these problems:

 

i attached a word document contains all 15 problems and i want to solve them and show the steps

 

 

For each problem of homework 1, please include the problem statement
figure, and step by step solution. 1 1. Proof the following trigonometric identity:
Tan ( 2a ) 2 tan a
1 tan 2 a 2. Proof that sin(a+b) = [sin(a)][cos(b)] + [cos(a)][sin(b)] 3. Proof that sin2a + cos2a = 1.0 4. Proofs that for any triangle, the following ratios are equal (the sin
law).
AB/Sin(c) = AC/Sin(b) = BC/Sin(a) A
a b c B
C 2 5. Proof the following trigonometric identity:
Tan 2 (45 a ) 6. 1 Sin(2a)
1 Sin(2a) Find the magnitude of the resultant force F of the given 45 and 55
pound forces.
45 lb 35o
60o F 55 lb 7. Proof that the sum of the interior angles of any triangle is 180o.
A C
B 3 8. Proof that the sum of the interior angles of any hexagon (6 sided) is
720o.
F A E B C D 9. Proof that cos(a + b) = [cos(a)][cos(b)] – [sin)a)][sin(b)] 10. Proof that for any triangle, the following relationship is true
BC2 = BA2 + AC2 - 2(BA)(AC)(cos(a))
A a
C B 4 11. Obtain the determinants of the following matrices.
1 3 2
6 A 1 B 3 2 1
2 C 0 0 12. 2
3 5 1
3
2
1 0 5
4
6 1
1 7 8 Obtain the transpose [A]T for the given [A] matrix. 4 A 2 2 13. 3 2
1 3
3 6 2
4 5 Obtain the inverse [B]-1 of the given [B] matrix.
2 2
0 2 0 B 6 5 4
2
4 14. Obtain matrix [C] by multiplying matrices [A] and [B].
14a - Obtain matrix [C] by multiplying matrices [A] and [B].
2 C A * B 1 5
0 2
6 * 2
4 6 3
4 5 14b – Multiply [A] by [B] 2 C A B ;[ A ] 7 3 15. 5
1
4 3
4 4 ; B 6 3
5 1 1
5 Solve the following equations using matrix operation. Verify your
answer using the traditional solution of three simultaneous equations. X+Y+Z=3
2X + 0.5Y + Z = 2
4X – Y – Z = 7 6

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Status NEW Posted 20 Apr 2017 01:04 AM My Price 8.00

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