We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x)

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)

6 0

3 years ago

9. What is the domain of the relation {(-2, 4), (1, 3), (0, -4), (3, 2)}?

frez [133]

$\huge\sf \fcolorbox{purple}{redblush}{ Question : - }$

<h3>What is the domain of the relation</h3>

R = {(-2, 4), (1, 3), (0, -4), (3, 2)}?

A. (-2, 0, 1, 3}
C. {0, 1, 2,4}
B.{-4, -2, 2, 3}
D. {-4,2,3,4}

<h2>Answer:-</h2>

Domain of relation is (-2, 1,0,3}

so option 1st is correct

4 0

2 years ago

Write a rule for the linear function in the table. <br><br> Help me!!!!

IgorC [24]

Answer:

A. f(x) = 2x + 1.

Step-by-step explanation:

5 = 2(2) + 1

11 = 2(5) + 1

17= 2(8) + 1

23 = 2(11) + 1

- so it is f(x) = 2x + 1.

4 0

4 years ago

Which of the following give the correct graph and phase shift for y = 3 cos ( θ +20) – 4?

mihalych1998 [28]

Answer:

See picture attached below

Step-by-step explanation:

We can easily find the answer to your question, if we plot the equation with a graphing calculator or any plotting tool.

The equation is

y = 3 cos (θ + 20) - 4

See attached picture below

phase_shift = 20

max_amplitude = -1

min_amplitude = -7

Period = 2π

7 0

3 years ago