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`(sqrt2-sin25^(@)-cos25^(@))/(sin25^(@)-cos25^(@))` is equal toA. `tan 25^(@)`B. `cos20^(@)`C. `-tan10^(@)`D. `sec 10^(@)` |
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Answer» `(sqrt2-sqrt2((1)/(sqrt2)sin25^(@)+(1)/(sqrt2)cos25^(@)))/(sqrt2(1-cos25^(@)-(1)/(sqrt2)cos25^(@)))=(sqrt2-sqrt2cos(25^(@)-45^(@)))/(sqrt2sin(25^(@)-45^(@)))` `=(sqrt2(1-cos20^(@)))/(sqrt2sin(-20^(@)))=(2sin^(2)10^(@))/(-2sin10^(@)cos10^(@))=-tan10^(@)` |
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