cosθ = cotθ/cscθ is a true statement. The answer is option B
<h3>How to determine which of the trigonometric statements are true?</h3>
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles
A. tan²θ = 1 - sec²θ
tan²θ = 1 - sec²θ
tan²θ = 1 - 1/cos²θ (Note: sec²θ = 1/cos²θ)
tan²θ = (cos²θ- 1)/cos²θ
tan²θ = -sin²θ/cos²θ (Note: cos²θ- 1 = -sin²θ)
tan²θ = -tan²θ
This statement is not true
B. cosθ = cotθ/cscθ
cosθ = cotθ/cscθ
cosθ = (1/tanθ) / (1/sinθ)
cosθ = (cosθ/sinθ).sinθ
cosθ = cosθ
This statement is true
C. 1/sec²θ = sin²θ + 1
1/sec²θ = 1/(1/cos²θ)
1/sec²θ = cos²θ
1/sec²θ = 1 - sin²θ
This statement is not true
D. sec²θ - 1 = 1/cot²θ
sec²θ - 1 = 1/cos²θ - 1
sec²θ - 1 = (1-cos²θ)/cos²θ
sec²θ - 1 = sin²θ/cos²θ
sec²θ - 1 = tan²θ
This statement is not true
E. sinθ cscθ = tan θ
sinθ cscθ = tan θ
sinθ cscθ = sinθ (1/sinθ)
sinθ cscθ = 1
This statement is not true
Therefore, the true statement is cosθ = cotθ/cscθ
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Answer:
2 sides are 
or 2.5
2 sides are 
or 3.6
Step-by-step explanation:
There must be 2 2x+3s and 2 3x+2s
The perimeter is the sum of the sides (it has 4 sides)
2(2x+3) + 2(3x+2) = 4(4x-5)
distributive property
2*2x + 2*3
4x+6
other one
2*3x + 2*2
6x+4
perimeter
4*4x + 4*-5
16x-20
together...
(4x+6) + (6x+4) = 16x-20
add like terms
10x+10 = 16x-20
add 20 to both sides
10x+30 = 16x
subtract 10x from both sides
30 = 26x
divide by 26 on both sides
simplify
Substitute the x value
2 of the sides are 2x+3
so
or 2.5
other sides
or 3.6
That's all I can say for now! Hope this helps and a thank won't hurt! :)
Answer: 31
Step-by-step explanation: if x = 8 it would look like this
3(8) + 7
\/ \/
24 + 7
\/
31
Answer and Step-by-step explanation:
No, this equation is not true. If you were to put these coordinates on a graph, or even if you didn't, the plot points (-10, -24) would look like this:
(x, y), or in this case (-x, -y).
The point -10 is the x-coordinate for this problem, and the -24 is the y-coordinate. The question is basically asking if the y-coordinate is -10. It is not, so this equation is not true.
I hope that this helps.
