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If theta is the angle between two lines ...

If `theta` is the angle between two lines whose d.r's are `(1,-2,1)` and `(4,3,2)` then `sec((theta)/(2))+cosec((theta)/(2))`=

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If theta is the angle between two lines whose d.r's are (1,-2,1) and (4,3,2) then sec((theta)/(2))+cos ec((theta)/(2)) =

sec^2theta/(cosec^(2)theta) =

1/sec^2theta+1/(cosec^(2)theta)=

1/sec^2theta+1/(cosec^(2)theta)=1

(sec^2theta-1)(cosec^2theta-1)

(sec^2theta-1)(cosec^2theta-1)=1

sec^(2)theta - (1)/(cosec^(2)theta - 1) =

(cot theta sec theta)^2-(cos theta. cosec theta)^2=1

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

Prove that: sec^(2)theta+csc^(2)theta>=4