यदि `x,y` न्यूनकोण है `x lt x +y lt 90^(@)` और `sin(2x-20^(@))=cos(2y+20^(@))`, है तो का मान ज्ञात करे?

Options

A. `(1)/(sqrt(3))`
B. `(sqrt(3))/(2)`
C. `sqrt(3)`
D. 1

Answer

d

Explanation

`sin(2x-20^(@))=cos(2y+20^(@))`
`(2x-20^(@))+(2y+20^(@))=90^(@)`
[if `sinA=cos theta` then `A+B=90^(@)`]
`2(x+y)=90^(@)`
`x+y=45^(@)`