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21.02.2022 •
Mathematics
Simplify 3 y − 2 y + 3 − y + 5
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Ответ:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
y + 3 - y + 5
3 + 5
8
hope this helps :]
Ответ:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
(3y - 2y - y) + (3 + 5)
0 + 8
8
Hope this helps!
Ответ:
see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
A + C = π - B
B + C = π - A
Use the Cofunction Identity: sin A = cos (π/2 - A)
Use the following Sum to Product Identity:
sin A + sin B = 2 sin [(A + B)/2] · cos [(A + B)/2]
Use the Double Angle Identity: sin 2A = 2 sin A · cos A
Proof LHS → RHS
LHS: sin (B + C - A) + sin (C + A - B) + sin (A + B - C)
Given: sin[(π - A) - A) + sin [(π - B) - B] + sin [(π - C) - C]
= sin (π - 2A) + sin (π - 2B) + sin (π - 2C)
= sin 2A + sin 2B + sin 2C
= (sin 2A + sin 2B) + sin 2C
Given: 2 sin C · cos (A - B) + 2 sin C · cos C
Factor: 2 sin C [cos (A - B) + cos C]
Cofunction: 4 sin A · sin B · sin C
LHS = RHS: 4 sin A · sin B · sin C = 4 sin A · sin B · sin C![\checkmark](/tpl/images/0746/2326/9e671.png)