Greater then or less then
Answer:
Step-by-step explanation:
<u>Key skills: Exponents + Fractions</u>
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Answer:
π
2
,
3
⋅
π
2
,
3
⋅
π
4
,
7
⋅
π
4
Explanation:
Factorizing your equation we get
cot
(
x
)
=
0
so
cos
(
x
)
=
0
we get the following Solutions in the given interval
x
=
π
72
or
x
=
3
π
2
for the second case we get
cot
(
x
)
=
−
1
so
cos
(
x
)
=
−
sin
(
x
)
and we get
x
=
3
π
4
or
x
=
7
π
4
Hint:
To get the Solutions of the last equation you can use
√
sin
(
x
+
π
4
)
=
0
Step-by-step explanation: