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swat32
2 years ago
7

(1+tan^2 A)cot A/cosec^2 A= tanA​

Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = \frac{1}{cosA}, cosecA = \frac{1}{sinA} , cotA = \frac{cosA}{sinA} , tanA = \frac{sinA}{cosA}

Consider the left side

\frac{(1+tan^2A)cotA}{cosec^2A}

= \frac{sec^2AcotA}{cosec^2A}

= \frac{\frac{1}{cos^2A}(\frac{cosA}{sinA})  }{cosec^2A}

= \frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }

= \frac{1}{cosAsinA} × sin²A

= \frac{sinA}{cosA}

= tanA = right side , thus proven

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Hundred chart: I am thinking of a number that is greater than 70 but less than 100.
Katyanochek1 [597]

The numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98

<h3>Even and odd numbers</h3>

  • A number greater than 70 but less than 100
  • Not divisible by 10
  • Not divisible by 4
  • Not odd number

A number greater than 70 but less than 100

71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98

Not odd number

72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98

Not divisible by 10

72, 74, 76, 78, 82, 84, 86, 88, 92, 94, 96, 98

Not divisible by 4

74, 78, 82, 86, 94, 98

Therefore, the numbers which is greater than 70 but less than 100, not divisible by 10, not divisible by 4, not an odd number are 74, 78, 82, 86, 94, 98.

Learn more about even and odd numbers:

brainly.com/question/2263958

#SPJ1

7 0
2 years ago
Pleas help i will mark branlist
koban [17]
D because your making the shape smaller 2 times
8 0
3 years ago
I’m not sure how to do this any help would be great
KIM [24]

Answer:

785.4cm^3

Step-by-step explanation:

(10÷2)^2*π=25π

25π*10=250π≈785.4

4 0
2 years ago
Question 1) Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
USPshnik [31]

Question 1)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

F(G(x)) = 3(2x - 3)^2 + 1

F(G(x)) =3(4x^2 - 12x + 9) + 1

F(G(x)) = 12x^2 - 36x + 27 + 1

F(G(x)) =12x^2 - 36x + 28

Question 2)

Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x

H -1 (x) = x (inverse)

8 0
3 years ago
-4(2+8)=(-4xN)= Show your answers
Elanso [62]

Answer:

n=10

Step-by-step explanation:

- 4(2 + 8) = ( - 4 \times n) \\  \frac{ - 4(10)}{ - 4}  =  \frac{ - 4n}{ - 4}  \\ 10 = n

5 0
2 years ago
Read 2 more answers
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