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densk [106]
3 years ago
11

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

Mathematics
1 answer:
Yakvenalex [24]3 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)

so

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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Answer:

48

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8 0
3 years ago
3x = 2x + 12<br> What is the answer to this equation?
Strike441 [17]

Answer:

x=12

Step-by-step explanation:

3x=2x+12

-2x from each side

x=12

4 0
3 years ago
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XYZ is an isosceles triangle inscribed I a circle, center O. XY=XZ= 20 and YZ=18. Calculate to 3.s.f.
Vlad1618 [11]

Answer: 17.9

Step-by-step explanation:

Using Heron's formula:

Area of a triangle is given by:

√s(s-a)(s-b)(s-c)

Where a, b and c ara sides of the triangle and

S = (a+b+c) / 2

In the question above sides are :

XY=XZ= 20 and YZ=18

S = (20 + 20 + 18) / 2 = 58/2 = 29

Area = √29(29-20)(29-20)(29-18)

Area = √29(9)(9)(11)

Area = √25839

Area = 160.74513

Altitude = height(h)

Area = 0.5 × base × height

Base = yz = 18

160.74513 = 0.5 × 18 × h

160.74513 = 9 × h

h = 160.74513 / 9

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5 0
3 years ago
Students in an engineering class designed model airplanes. The average distance flown was 48 feet. The table shows the differenc
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Answer:

A,C,D,E

Step-by-step explanation:

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7 0
3 years ago
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Are 165° and 1965° coterminal?​
MatroZZZ [7]

two angles are coterminal, namely land on the same spot on the circle.

let's check.

let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.

1965 ÷ 360, gives us a quotient of 5 with some remainder.

5 * 360 = 1800, 5 full circles

if we subtract the full circles from 1965

1965 - 1800 = 165

low and behold, the remainder from that division is 165°  ✔

in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.

5 0
3 years ago
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