## vishweshshrimali5 2 years ago sin y = 2 sin x find and construct angle y

1. vishweshshrimali5

@estudier @experimentX

2. vishweshshrimali5

@sauravshakya

3. CliffSedge

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

4. 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)

5. vishweshshrimali5

@hartnn

6. vishweshshrimali5

@ganeshie8

7. CliffSedge

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

8. hartnn

|dw:1350575570665:dw|

9. vishweshshrimali5

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

10. vishweshshrimali5

11. CliffSedge

12. CliffSedge

* sorry, opposite -over-hypotenuse.

13. vishweshshrimali5

Ok

14. CliffSedge

|dw:1350575849980:dw|

15. vishweshshrimali5

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

16. 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)

17. 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

18. hartnn

let me go throught the book

19. vishweshshrimali5

np

20. CliffSedge

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.

21. vishweshshrimali5

Thanks for help everyone

22. vishweshshrimali5

Thanks @CliffSedge and @hartnn

23. mathslover

is the question wrong so ?

24. CliffSedge

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?

25. vishweshshrimali5

Not possible (so easily)

26. vishweshshrimali5

Its page number 84 question number 24 in my book

27. CliffSedge

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

28. vishweshshrimali5

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

29. hartnn

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

30. CliffSedge

See proposition 79 on page 77.

31. CliffSedge

Yeah, what ^^ he said.

32. hartnn

because tan x was c

33. vishweshshrimali5

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