vishweshshrimali5
  • vishweshshrimali5
sin y = 2 sin x find and construct angle y
Mathematics
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SOLVED
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katieb
  • katieb
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vishweshshrimali5
  • vishweshshrimali5
@estudier @experimentX
vishweshshrimali5
  • vishweshshrimali5
@sauravshakya
anonymous
  • anonymous
\[\large y=sin^{-1}(2 sin(x))\] So, what is x? And what do you mean by "construct?"

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vishweshshrimali5
  • vishweshshrimali5
Let x to be a given angle I don't know what they mean by construct This is what is given in question (SL Loney)
vishweshshrimali5
  • vishweshshrimali5
@hartnn
vishweshshrimali5
  • vishweshshrimali5
@ganeshie8
anonymous
  • anonymous
If by construct, you mean draw, then it would look like this: |dw:1350575550616:dw|
hartnn
  • hartnn
|dw:1350575570665:dw|
vishweshshrimali5
  • vishweshshrimali5
Can u explain the figure (how you made it)....... both @hartnn and @CliffSedge
vishweshshrimali5
  • vishweshshrimali5
@hartnn I got your diag
anonymous
  • anonymous
Definition of sine := opposite-over-adjacent.|dw:1350575774968:dw|
anonymous
  • anonymous
* sorry, opposite -over-hypotenuse.
vishweshshrimali5
  • vishweshshrimali5
Ok
anonymous
  • anonymous
|dw:1350575849980:dw|
vishweshshrimali5
  • vishweshshrimali5
Ok @hartnn and @CliffSedge but what about value of y ?
hartnn
  • hartnn
u directly get the measure of angle y from construction, using protractor(ofcourse knowing angle x), analytically it will be sin^-1(2sin x)
vishweshshrimali5
  • vishweshshrimali5
But it is the question of trigo. equation of SL Loney @hartnn and no answer is given at the end............... And uptill that question there is nothing about constructing angle using protactor and inverse trigonometric functions
hartnn
  • hartnn
let me go throught the book
vishweshshrimali5
  • vishweshshrimali5
np
anonymous
  • anonymous
You need more information about x and y to say anything else about it. The diagrams and equations hartnn and I gave are all you can do in this situation given that information.
vishweshshrimali5
  • vishweshshrimali5
Thanks for help everyone
vishweshshrimali5
  • vishweshshrimali5
Thanks @CliffSedge and @hartnn
mathslover
  • mathslover
is the question wrong so ?
anonymous
  • anonymous
I am looking at S.L. Loney. Plane Trigonometry now ( http://books.google.com/books?id=grQUWYejIq4C ), can you let me know what page number you saw this on?
vishweshshrimali5
  • vishweshshrimali5
Not possible (so easily)
vishweshshrimali5
  • vishweshshrimali5
Its page number 84 question number 24 in my book
anonymous
  • anonymous
See proposition 77 on page 76. It seems to be the identical method hartnn and I used.
vishweshshrimali5
  • vishweshshrimali5
can u explain me this with one more example like tan y = 3tan x Please
hartnn
  • hartnn
from page 77, u just extend the side c 3 times, |dw:1350577118123:dw| then AOB will be required angle
anonymous
  • anonymous
See proposition 79 on page 77.
anonymous
  • anonymous
Yeah, what ^^ he said.
hartnn
  • hartnn
because tan x was c
vishweshshrimali5
  • vishweshshrimali5
wonderful ...... I got it.............Thanks a lot

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