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  • 2 answers

Pankaj Nishad 5 years, 2 months ago

Iretastha nees hai
Iretasthanees
34
  • 1 answers

Manish Rajbhar 6 years, 6 months ago

3,2
  • 3 answers

Arpit Mishra 6 years, 5 months ago

TanA+TanB/1-TanA×TanB

Anup Yadav 6 years, 6 months ago

TanA+TanB/1-tanA.tanB

Vikash Verma 6 years, 6 months ago

Tan(a)+tan(b) /1-tan(a)tan(b)
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Thakur Deepanshu Tomar 6 years, 6 months ago

11th
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Gaurav Seth 6 years, 7 months ago

Given:

tan x = 1/7

tan y = 1/3

To Prove: cos 2x = sin 4y

We know that 

tan x = opposite / adjacent = 1/7

So using these value in right angle triangle ABC and Pythagoras theorem,

AC² = 1² + 7² = 1 + 49 = 50

AC = √50 = 5√2

⇒ sin x = opposite/hypotenuse = 1/5√2

⇒ cos x = adjacent/hypotenuse = 7/5√2

Also,

tan y = opposite / adjacent = 1/3

So using these value in right angle triangle LMN and Pythagoras theorem,

AC² = 1² + 3² = 1 + 9 = 10

AC = √10

⇒ sin y = opposite/hypotenuse = 1/√10

⇒ cos y = adjacent/hypotenuse = 3/√10

Now,

LHS = cos 2x = 2cos² x -1 = 2(7/5√2)² - 1 = 2(49/50) - 1

        = 24/25

RHS = sin 4y = 2 sin 2y cos 2y

        = 4 sin y cos y (2cos² y -1)

        = 4 (1/√10)(3/√10) ( 2(3/√10)² - 1 ) 

        = (12/10) ( 9/5 - 1 ) 

        = (6/5) ( 4/5 ) 

        = 24/25

LHS = RHS 

Hence proved.

 

  • 2 answers

Amayra Siddiqui 6 years, 2 months ago

Cell is the fundamental and structural unit of life

Gaurav Seth 6 years, 7 months ago

Cell was discovered by an English Botanist, Robert Hooke in 1665. He used self-designed microscope to observe cells in a cork slice back then.

Cells are called the structural and functional unit of life because all the living organisms are made up of cells and all the functions that take place inside the organisms are performed by cells.

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Ankit Singh 5 years, 7 months ago

How vas

Neelam Maurya 6 years, 6 months ago

Neeraj
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Genius Boy 6 years, 5 months ago

A well defined collection of elements is called sets.
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Praful Dubey 6 years, 6 months ago

HERE!! Bookkeeping is the recording of financial transactions, and is part of the process of accounting in business. Transactions include purchases, sales, receipts, and payments by an individual person or an organization/corporation. Did u get it?
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Surya Vidhayak 5 years ago

A+B-2AB

Varun Mishra 6 years, 6 months ago

A^2+B^2+2AB
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Varun Mishra 6 years, 6 months ago

sin3A= 3sinA-4sin^3A

Dipak Kumar 6 years, 7 months ago

Apana whatsapp n. De do

Vishal Maheshwari 6 years, 7 months ago

Sir mai class 11 mai ka student hu michhai maths ka simple paper chahiye sir
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Himanshu Kumar 6 years, 5 months ago

Kadir das
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Rachit Baghel 6 years, 7 months ago

Who are you punish
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Varun Mishra 6 years, 6 months ago

1

Dipak Kumar 6 years, 7 months ago

1
Ok
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Shirajul Hoque 6 years, 7 months ago

Hauryou

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