1.

If `sectheta-tantheta=(1)/(sqrt(3))`, the value of `sectheta.tantheta` का मान हैA. `(4)/(sqrt(3))`B. `(2)/(sqrt(3))`C. `(2)/(3)`D. `(1)/(sqrt(3))`

Answer» Correct Answer - c
Shortcut method
Put `theta=30^(@)`
`sectheta-tantheta=(1)/sqrt(3)`
`sec30^(@)-tan30^(@)=(1)/sqrt(3)`
`(2)/sqrt(3)-(1)/sqrt(3)=(1)/sqrt(3)`
`(1)/sqrt(3)=(1)/sqrt(3)` (satisfied)
`sectheta=30^(@)`
`rArrsectheta.tantheta`
`rArr sec30^(@).tan30^(@)`
` rArr(2)/sqrt(3)xx(1)/sqrt(3)=(2)/(3)`


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