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Advocard [28]
3 years ago
8

(tan + sec )(tan − sec )

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0

Answer:

1

Step-by-step explanation:

(a+b)(a−b)=a²−b²

tan²(θ)+1=sec²(θ)

(sec(θ)+tan(θ))(sec(θ)−tan(θ))

   =sec²(θ)−tan²(θ)

   =(tan²(θ)+1)−tan²(θ)

   =1

Gala2k [10]3 years ago
3 0

Answer:

- 1

Step-by-step explanation:

( tan + sec ) ( tan − sec )

Formula / Identity : -

( a - b ) ( a + b ) = a^2 - b^2

Here,

a = tan

b = sec

( tan + sec ) ( tan − sec ) = tan^2 - sec^2

Formula : -

1 + tan^2 = sec^2

tan^2 - sec^2 = - 1

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Answer:

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Step-by-step explanation:

It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:

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5 0
3 years ago
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
mixer [17]

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

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4 0
3 years ago
A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1
monitta

Answer:

Q1:

Share of the daughter (x):

2x + x + x + $1,000 = $9,000

4x = $8,000

x = $2,000

Share of the wife:

= 2($2,000)

=  $4,000

Share of the son:

= $2,000 + $1,000

= $3,000

Answer: wife, $4,000; son, $3,000; daughter, $2,000

Q2:

= 1/2x + $1,000

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2x = $8,000

x = $4,000

Step-by-step explanation:

hope it helps!

6 0
3 years ago
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