Answer:
a) 
b)

c)

d)
cos 330° = 1- 2 sin² (165°)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
By using trigonometry formulas
a)
cos2∝ = 2 cos² ∝-1
cos∝ = 2 cos² ∝/2 -1
1+ cos∝ = 2 cos² ∝/2

b)
cos2∝ = 1- 2 sin² ∝
cos∝ = 1- 2 sin² ∝/2

<u><em>Step(i):-</em></u>
Given

we know that trigonometry formulas

1- cos∝ = 2 sin² ∝/2
Given

put ∝ = 315

multiply with ' 2 sin (∝/2) both numerator and denominator

Apply formulas

1- cos∝ = 2 sin² ∝/2
now we get

b)

put ∝ = 330° above formula



c )

put ∝ = 315° above formula


d)
cos∝ = 1- 2 sin² ∝/2
put ∝ = 330°

cos 330° = 1- 2 sin² (165°)
Sorry no but you can search up the question on google and maybe try that
Answer:
Rational Numbers: 1.1625, 5.15603418923, and -11/151
Irrational Numbers: √256, √141, and ∛25
Step-by-step explanation:
Rational Numbers are numbers that are decimals, fractions, and whole numbers.
Irrational Numbers are numbers that have square roots and cube roots.
Answer:
About 31 years
Step-by-step explanation:
Given data
Principal= $3500
Rate= 4.75%
Final amount= $15,000
Time=??
The expression for time on compound interest is
Calculate time, solve for t
t = ln(A/P) / r
substitute
Calculate time, solve for t
t = ln(15000/3500) / 0.0475
t= ln(4.2857)/ 0.0475
t= 1.4552/0.0475
t= 30.63 years
Hence it will take about 31 years
Answer:
28.26
Step-by-step explanation:
π r² = A
A = (3.14) (3²)
A = 3.14 · 9 = 28.26