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harina [27]
3 years ago
15

Round to the place of

Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer:

ok

Step-by-step explanation:

but why

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Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)
Wittaler [7]

(tanθ + cotθ)² = sec²θ + csc²θ

<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ

<u>Evaluate middle term</u>: 2tanθcotθ = 2*\frac{sin\theta}{cos\theta}*\frac{cos\theta}{sin\theta} = 2

⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u>  tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u>  1 + cot²θ = csc²θ

⇒ sec²θ + csc²θ

Left side equals Right side so equation is verified


7 0
3 years ago
mr tonneman buys one 2 pound lobster and 1 pound 4 ounces of shrimp. find the ratio the weight of the lobster to the shrimp
Phantasy [73]
2:1over4 this would be the ratio answer 
5 0
3 years ago
i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
Ivenika [448]

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

<h3>When are lines parallel, perpendicular or neither?</h3>

The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

  • If they are equal, the lines are parallel.
  • If their multiplication is of -1, they are perpendicular.
  • Otherwise, they are neither.

Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

  • mAB = (-7 - 9)/(11 - 1) = -8/5.
  • mAC = (3 - 9)/(-9 - 1) = 3/5.
  • mBC = (3 - (-7))/(-9 - 11) = -1/2.

No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

#SPJ1

6 0
2 years ago
Which pairs of angles in the figure below are vertical angles??
Wewaii [24]

Answer:

Option A and D

Step-by-step explanation:

straight lines AI, PR, CT intersect each other at a point k.

Opposite or vertical angles are,

1. ∠ AKC and ∠ TKI

2. ∠ IKR and ∠ AKP

Therefore, options (A) and (D) are the correct options.

8 0
3 years ago
PLEASE HURRY! What is the rate of change of the function? -2 - 1/2 1/2 2<br> Thank you.
svetlana [45]

Answer: -2

Step-by-step explanation: The line has a slope of -2/1, which is just -2.

6 0
3 years ago
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