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2 years ago

Which of the following is cot(theta) sec(theta) in simplified form? csc theta tan theta –1 1

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

csc(theta)

Step-by-step explanation:

we have

cot(theta)*sec(theta)

we know that

cot(theta)=cos(theta)/sin(theta)

sec(theta)=1/cos(theta)

csc(theta)=1/sin(theta)

substitute in the given expression

cot(theta)*sec(theta)=(cos(theta)/sin(theta))*(1/cos(theta))

Simplify

(cos(theta)/sin(theta))*(1/cos(theta))=1/sin(theta)

and

1/sin(theta)=csc(theta)

therefore

cot(theta)*sec(theta)=csc(theta)

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tatiyna

Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

In triangle DEF measurement angle D = 45 degrees meausrement angle E = 63 degrees and EF = 24 inches. What is DE to the nearest

alexandr1967 [171]

Since the angles add to 180°, angle F is 72°.

Using the law of sines,

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2 years ago

Read 2 more answers

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment on the other hand if she has lunch

Stolb23 [73]

Answer:

165km

Step-by-step explanation:

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment

Now:

Distance=Speed X Time

D=66 X t=66t.....(I)

If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:

t hours - 40 minutes

=(t-40/60)hours=( t-2/3) hours

Her Distance this time

D=90(t-2/3)=90t-60.....(ii)

Since the distance to Alton does not change, we equate (I) and (ii)

66t=90t-60

60=90t-66t

60=24t

t=2.5 hours

From equation (I)

Distance=66t=66X2.5=165km

Distance to Alton is 165km.

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3 years ago