Question

1/sin10°-√3/cos10°=4​

Answer 1

`(1)/(\sin \left(10^(\circ \:\:)\right))\:\:(1)/(\sin \:\left(10^(\circ \:\:)\right))=4`

Explanation:

Given the expression

`(1)/(\sin \left(10^(\circ \:)\right))-(√(3))/(\cos \left(10^(\circ \:)\right))=4`

Taking the left-hand side and solving it

`(1)/(\sin \left(10^(\circ \:)\right))-(√(3))/(\cos \left(10^(\circ \:)\right))`

as

`(1)/(\sin \:\left(10^(\circ \:\:)\right))=5.76`

and

`(√(3))/(\cos \left(10^(\circ \:\:)\right))=1.76`

so the expression becomes

`(1)/(\sin \left(10^(\circ \:\:)\right))\:\:(1)/(\sin \:\left(10^(\circ \:\:)\right))=5.76-1.76`

`=4`

Thus, we conclude that

`(1)/(\sin \left(10^(\circ \:\:)\right))\:\:(1)/(\sin \:\left(10^(\circ \:\:)\right))=4`