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MakcuM [25]
4 years ago
5

Tan(x+pi/2)= negative cot x

Mathematics
1 answer:
DIA [1.3K]4 years ago
6 0
I'm only going to alter the left hand side. The right side will stay the same the entire time

I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)

So with that in mind, this is how the steps would look:

tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x

Identity is confirmed

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Answer:

O (-4,1)

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3 years ago
A basketball player has 45 steals, 72 assists, 90 rebounds, and 432 points. What is
aalyn [17]

Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

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Therefore, rhe simplified ratio of rebounds ro steals is 5:24

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3 years ago
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The expensive one is the turkey

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5 0
4 years ago
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Hello :) <br> Please help me solve this <br><br> Explain answer
pav-90 [236]

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B

Step-by-step explanation:

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C to F went from (0,4) to (0,2)   went down by 1/2

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5 0
3 years ago
Find the area of the shape. ( image of 3/4 circle with the radius of 6 ) Answer in exact terms of pi or use 3.14 as pi and enter
Luba_88 [7]

The area of the shape is 84.78 square units

<h3>Area of a circle</h3>

The formula for calculating the area of a circle is expressed as:

A = πr²

where

r is the radius of a circle

Given the following

r = 6 units

pi = 3.14

Substitute

A = 3.14 * 6²

A = 113.04 square units

If the figure is 3/4 of a circle, the area of the shape will be:

A = 3/4 * 113.04

A = 84.78 square units

Hence the area of the shape is 84.78 square units

Learn more on area of a circle here: brainly.com/question/10645610

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2 years ago
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