Answer:
It's the first option.
Step-by-step explanation:
y = cos x transformed to cos (x - π/2) moves the graph π/2 units to the right.
Multiplying by 3 to give 3 cos(x - π/2) stretches the graph 3 units parallel to the y-axis and adding 3 to this moves the graph up 3 units.
So the required equation is y = 3(cos x - π/2) + 3.
Answer:
The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function
∵ The domain of the function is -90° ≤ Ф ≤ 90°
- Lets take sinФ as a common factor
∴ sinФ (3 sinФ - 2) = 0
- Two terms multiplied by each other = 0
∴ One of them must be equal zero
∴ sinФ = 0 or 3 sinФ - 2 = 0
- If sinФ = 0 ⇒ Ф = 0.0°
- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3
∵ sinФ 2/3
∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)
∵ -90° ≤ Ф ≤ 90°
∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)
∴ The solutions of the equation are -41.8° , 0.0° , 41.8°
The value of the fraction is 
, Option D is the correct answer.
The complete question is
Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3
<h3>What is a Fraction ?</h3>
When a number is represented by p/q , where q ≠ 0 is called a fraction.
The given fraction is
Therefore , the value of the fraction is , Option D is the correct answer.
To know more about Fraction
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7 ÷ 1/8 = 56
1/8 = 0.125.
When you are dividing fractions, to work them out you flip the fraction (or second fraction if there is 2) and change the sign. In this case, that would be 7 x 8/1.
7 x 8 = 56
56 / 1 = 56
