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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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What is the area of the figure below ?
Airida [17]

Answer:

Step-by-step explanation:

Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle

Down triangle:

Base b = 8 in

Height = 6 in

Area = \frac{1}{2}bh\\=\frac{1}{2}*8*6\\\\=4*6

= 24 in²

Trapezium:

bases a = 4 in & b = 6 in

Height h =  5 in

Area=\frac{(a+b)h}{2}\\\\=\frac{(4+6)*5}{2}\\\\=\frac{10*5}{2}\\\\=5*5

= 25 in²

Area of the upper triangle:

Base b = 6 in

Height = (8 - 5) = 3 in

Area=\frac{1}{2}bh\\\\=\frac{1}{2}*6*3\\\\=3*3

= 9 in²

Area of the figure = 24 + 25 + 9 = 58 in²

3 0
3 years ago
Read 2 more answers
Find the segment length indicated. Assume that lines which appear to be tangent
Jobisdone [24]

Answer:

its righties b

Step-by-step explanation:

5 0
3 years ago
the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one
RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

  • Length of the second square = 2/3 x 27 = 18
  • Length of the third square = 2/3 x18 = 12
  • Length of the fourth square = 2/3 x 12 = 8
  • Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

  • Area of the first square = 27² = 729
  • Area of the second square = 18² = 324
  • Area of the first square = 12² = 144
  • Area of the first square = 8² = 64
  • Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

  • Perimeter of the first square = 4 x 27 = 108 units
  • Perimeter of the second square = 4 x 18 = 72
  • Perimeter of the third square = 4 x 12 = 48
  • Perimeter of the fourth square = 4 x 8 = 32
  • Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

#SPJ1

4 0
2 years ago
Please help me on this thank you so much
ruslelena [56]
I believe the answer is B because you multiply 18 and 40 then subtract 320 from that and you will 400.
5 0
3 years ago
Plss help for points and brainliest
olganol [36]
There’s nothing here
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3 years ago
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