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ipn [44]
3 years ago
11

Verify the identity: cot^3t/csct = cost(csc^2t-1)

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0
We know that cot = cos/sin
then cot^3 = cos^3 / sin ^3
we also know that csc = 1/sin
then 1/csc = sin
cot^3t/csct =(cos^3t / sin^3t) * sint =cos^3t / sin^2t
1+cot^2 = csc^2
csc^2 -1 = cot^2
cost(csc^2t-1) =cost(cot^2t)
cost( cos^2t/sin^2t) =cos^3t/sin^2t
It implies that both sides are equal

hope it helps
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What is the answer to <br> 6+0.10x=0.15x+8
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Let's solve this problem step-by-step.

6+0.1x=0.15x+8

Step 1: Simplify both sides of the equation.

0.1x+6=0.15x+8

Step 2: Subtract 0.15x from both sides.

0.1x+6−0.15x=0.15x+8−0.15x

−0.05x+6=8

Step 3: Subtract 6 from both sides.

−0.05x+6−6=8−6

−0.05x=2

Step 4: Divide both sides by -0.05.

-0.05x/-0.05=2/-0.05

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3 years ago
Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r
GarryVolchara [31]

Answer:

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Step-by-step explanation:

Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:

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6 0
3 years ago
Hi, I have no clue how to do proportions and can you explain how to do this? If you can't that's alright.
bekas [8.4K]

___________________

Please, give me some minutes to take over your question

______________________________________

Rate = miles / time

8/t = 7/ 35

Dividing by 7

8/t = 7/ 35

8/ 7t = 1/ 35

Multiplying by t

8/7 = t/35

_____________

Options

1) 8/t = 35/ 7 (False, t/8 = 35/ 7 )

2) t/8 = 7/ 35 (False, t/8 = 35/ 7 )

3) 8/7 = t/ 35 (TRUE)

4) 7/8 = t/35 (False, 8/7 = t/ 35 )

__________________

Answer

3) 8/7 = t/ 35 (TRUE)

4 0
1 year ago
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