(cosecθ + cosθ)2 + (secθ + sinθ)2 = ?

4(secα + cosecα)

Step-by-step explanation:

Start off by grouping the 2:

2(cosecα + cosα + secα + sinα) = 2 [(1/sinα) + cosα + sinα + (1/cosα)] = 2[(2sinα + 2cosα)/(sinα·cosα)] = 4[(sinα + cosα)/sinα·cosα] = 4(secα + cosecα)

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.

ion

step-by-step explanation:

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