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2 years ago

I need answers asap... please

Mathematics

1 answer:

aleksandrvk [35]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

$\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}$

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × $\frac{sinx}{cosx}$ = sinx

$\frac{sin^2x(secx+cosecx)}{sinx}$

= sinx( $\frac{1}{cosx}$ + $\frac{1}{sinx}$ )

= $\frac{sinx}{cosx}$ + $\frac{sinx}{sinx}$

= tanx + 1 = right side ⇒ verified

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(7-15-3+5-7)×1 step by step

Tresset [83]

Answer:

-13

Step-by-step explanation:

(7−15−3+5−7)⋅1

Subtract 15 from 7 to get −8.

(−8−3+5−7)×1

Subtract 3 from −8 to get −11.

(−11+5−7)×1

Add −11 and 5 to get −6.

(−6−7)×1

Subtract 7 from −6 to get −13.

−13

6 0

2 years ago

Read 2 more answers

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Vikentia [17]

Hi there!

First we need to remember the following.
$(f + g)(x) = f(x) + g(x)$

Now substitute both of the formulas.
$(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)$

Work out the parenthesis.
$(f + g)(x) = {3}^{x} + 10x + 4x - 2$

And finally collect terms.
$(f + g)(x) = {3}^{x} + 14x - 2$

~ Hope this helps you!

3 0

3 years ago

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Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad

serg [7]

Answer:

$\frac{4\pi}{3}$

Step-by-step explanation:

The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.

To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)

arc length of a sector = $\frac{centralangle}{360} \cdot 2\pi r$

arc length of a sector = $\frac{240}{360} \cdot 2\pi(1)$

arc length of a sector = $\frac{2}{3} \cdot 2\pi$

$\frac{4\pi}{3}$

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2 years ago

Math problem+Zoey, a Gelada Baboon, is tied to one of the outside corners of a regular hexagon-shaped research facility, where h

dexar [7]

Answer

The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.

Step-by-step explanation:

The length of the monkeys rope = 75 feet long

Each side of the hexagon shaped facility = 30 feet

Note that, 1 feet = 0.3048 m

if we convert 30 feet to Meter, we have,

30 × 0.3048 = 9.144

Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building

75 feet × 0.304 meter = 22.86 meters.

So the total area the monkey will be able to cover will be

= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.

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3 years ago

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Natasha_Volkova [10]

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2 years ago