Question

If `"sin" 17^(@)(x)/(y)`then the value of `(Sec 17^(@)-sin73^(@))` (यदि `"sin" 17^(@)(x)/(y)` 7 मान ज्ञात करे )7.5
A. `(y^(2))/(xsqrt(y^(2)-x^(2)))`
B. `(y^(2))/(ysqrt(y^(2)-x^(2)))`
C. `(y^(2))/(ysqrt(x^(2)-y^(2)))`
D. `(y^(2))/(xsqrt(x^(2)-y^(2)))`

Answer 1

Correct Answer - b
`Sin17^(@)=(k)/(y)rArr(P)/(H)`

`rArr Sec17^(@)-sin73^(@)`
`=sqrt(y)/(sqrt(y^(2)-x^(2)))-(sqrt(y^(2)-x^(2)))/(y)`
`=(y^(2)-(y^(2)-x^(2)))/((y)sqrt(y^(2)-x^(2)))=(y^(2)-y^(2)+x^(2))/(ysqrt(y^(2)-x^(2)))`
`=(x^(@))/((y)(sqrt(y ^(2)-x^(2))))`