sin y = 2 sin x
find and construct angle y

- vishweshshrimali5

sin y = 2 sin x
find and construct angle y

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- schrodinger

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- vishweshshrimali5

@estudier
@experimentX

- vishweshshrimali5

@sauravshakya

- anonymous

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

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## More answers

- 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

@hartnn

- vishweshshrimali5

@ganeshie8

- anonymous

If by construct, you mean draw, then it would look like this:
|dw:1350575550616:dw|

- hartnn

|dw:1350575570665:dw|

- vishweshshrimali5

Can u explain the figure (how you made it)....... both @hartnn and @CliffSedge

- vishweshshrimali5

@hartnn I got your diag

- anonymous

Definition of sine := opposite-over-adjacent.|dw:1350575774968:dw|

- anonymous

* sorry, opposite -over-hypotenuse.

- vishweshshrimali5

Ok

- anonymous

|dw:1350575849980:dw|

- vishweshshrimali5

Ok
@hartnn and @CliffSedge but what about value of y ?

- 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

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

let me go throught the book

- vishweshshrimali5

np

- 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

Thanks for help everyone

- vishweshshrimali5

Thanks @CliffSedge and @hartnn

- mathslover

is the question wrong so ?

- 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

Not possible (so easily)

- vishweshshrimali5

Its page number 84 question number 24 in my book

- anonymous

See proposition 77 on page 76. It seems to be the identical method hartnn and I used.

- vishweshshrimali5

can u explain me this with one more example like
tan y = 3tan x
Please

- hartnn

from page 77, u just extend the side c 3 times,
|dw:1350577118123:dw|
then AOB will be required angle

- anonymous

See proposition 79 on page 77.

- anonymous

Yeah, what ^^ he said.

- hartnn

because tan x was c

- vishweshshrimali5

wonderful ......
I got it.............Thanks a lot

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