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\[\large y=sin^{-1}(2 sin(x))\] So, what is x? And what do you mean by "construct?"

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Other answers:

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)
If by construct, you mean draw, then it would look like this: |dw:1350575550616:dw|
|dw:1350575570665:dw|
Can u explain the figure (how you made it)....... both @hartnn and @CliffSedge
@hartnn I got your diag
Definition of sine := opposite-over-adjacent.|dw:1350575774968:dw|
* sorry, opposite -over-hypotenuse.
Ok
|dw:1350575849980:dw|
Ok @hartnn and @CliffSedge but what about value of y ?
u directly get the measure of angle y from construction, using protractor(ofcourse knowing angle x), analytically it will be sin^-1(2sin x)
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
let me go throught the book
np
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.
Thanks for help everyone
Thanks @CliffSedge and @hartnn
is the question wrong so ?
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?
Not possible (so easily)
Its page number 84 question number 24 in my book
See proposition 77 on page 76. It seems to be the identical method hartnn and I used.
can u explain me this with one more example like tan y = 3tan x Please
from page 77, u just extend the side c 3 times, |dw:1350577118123:dw| then AOB will be required angle
See proposition 79 on page 77.
Yeah, what ^^ he said.
because tan x was c
wonderful ...... I got it.............Thanks a lot

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