Solve the equation for all real values of x.
cosxtanx - 2 cos x=-1

Solution to equation for all real values of x is   .

Step-by-step explanation:

Here we have , . Let's solve :

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By quadratic formula :

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But at we have equation undefined as . Hence only solution is :

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Since ,

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Now , General Solution is given by :

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Therefore , Solution to equation for all real values of x is   .

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.