Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta

Mathematics

1 answer:

alexdok [17]2 years ago

3 0

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx / ( 1 - cos x) / cos x

(1- cosx) (1- cosx)

----------- ÷ ------------

sinx cos x

Copy dot flip

(1- cosx) cosx

----------- * ------------

sinx 1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

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hodyreva [135]

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r - the radius

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$P(-1,1) \\
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4 0

2 years ago

A truck is carrying cranberry juice, grape juice, and pineapple juice bottles in a ratio of

satela [25.4K]

Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12