निम्नलिखित का मान है?
`((tan20^(@))^(2))/((co s ec70^(@))^(2))+((cot20^(@))^(2))/((sec70^(@))^(@))+tan`
`15^(@).tan45^(@).tan75^(@)`.

Options

A. 1
B. 2
C. 4
D. 3

Answer

d

Explanation

value of
`rArr((tan20^(@))^(2))/((co s ec70^(@)))+((cot20^(@))/(sec70^(@)))^(2)`
`+2 tan15^(@)tan45^(@)tan75^(@)`
`rArr((tan20^(@))^(2))/(sec^(2)20^(@))+((cot20^(@))/(sec70^(@)))^(2)`
`+2 tan15^(@)tan45^(@)tan75^(@)`
`rArr((tan20^(@))^(2))/(sec^(2)20^(@))+((cot20^(@))^(2))/(co s ec20^(@))`
`+2 tan 15^(@)tan75^(@)`
`[tan 5^(@) tan75^(@)=1"if"A+B=90^(@)]`
`rArr[sin^(2)20^(@)+cos^(2)20^(@)]+2`
1+2=3