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zepelin
1 month ago
11

2. Which of the following relations is/are function/s?

Mathematics
1 answer:
Svet_ta [12.7K]1 month ago
4 0
B. and D. represent functions
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How many possible values for y are there where y = cos^-1 0?
Zina [12379]

The potential values for y areinfinite

Further clarification

Trigonometry is a branch of math focused on the connections between the sides and angles of triangles.

Considering special angles of trigonometric functions, for instance

\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.

In the equation y = cos⁻¹ 0, the value of y can be derived as follows:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Thus, the resulting value of y:

\displaystyle \frac{\pi }{2},\frac{3}{2}\pi,\frac{5}{2}\pi, etc

Alternatively, it can be expressed as:

\displaystyle y=\frac{\pi }{2} (2n-1) ⇒ y: arithmetic sequence

So there are infinite solutions for y

Learn more

trigonometric identities

Keywords: trigonometric, infinite values,arithmetic sequence

3 0
1 month ago
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Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and an
AnnZ [12381]

1. Angle DEF

2. Definition of congruent angles

3. Measure of angle GHI

6 0
2 months ago
cynara has a bag of red, blue, and black pens. She randomly selects a pen, records the color, and puts it back in the bag, She d
lawyer [12517]

Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:

Red pens: 6 out of 30, which simplifies to 1/5

Blue pens: 10 out of 30, which simplifies to 1/3

Black pens: 14 out of 30, which simplifies to 7/15

To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:

(1/3) × (1/5) = 1/15

The resulting probability is 1/15.

1 0
2 months ago
Match each step to its justification to solve 2x+5=19
Inessa [12570]
It includes the procedures to reach that specific point.
Some of them are arranged incorrectly.
I will label them with letters.

The sequence is:
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7


A: initial condition
B: we subtracted 5 from both sides based on the subtraction property of equality
C: perform the subtraction
D: applying the division property of equality (dividing both sides by 2)
E: result of the division
5 0
1 month ago
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Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer
babunello [11817]

Answer:

- 8

Step-by-step explanation:

Given the expression

(3x² - 5)(4 + 4x²)

Each term from the second factor is multiplied by every term in the first factor, meaning

3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses

= 12x² + 12x^{4} - 20 - 20x² ← combine like terms

= 12x^{4} - 8x² - 20

The coefficient for the x² term is - 8

7 0
1 month ago
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