A proton represents a positive charge. Write an integer to represent 5 protons. An electron represents a negative charge. Write
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Answer:
x=21.38602241
Step-by-step explanation:
Given: sin(3x)cos(6x) - cos(3x)sin(6x) = -0.9
Rewrite as difference identity: sin(3x-6x)=-0.9
Combine like terms in parentheses: sin(-3x)=-0.9
Take the inverse sine of both sides: -3x=-64.15806724
Divide both sides by -3: x=21.38602241
Refer to the sheet to see all trigonometric identities
Let the given complex number
z = x + ix =
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy =
⇒ x + iy =
Using the algebraic identity:
(a + b)(a - b) = -
⇒ x + iy =
⇒ x + iy = [ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".