Determine The $X Y$ - Coordinates Of $( 4,2 )$ If the Axes Are Rotated Through an Angle

question 19

Essay

Determine the $X Y$ - coordinates of $( 4,2 )$ if the axes are rotated through an angle $\phi = 45 ^ { \circ }$ .

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Definitions:

Sporophyte

The diploid multicellular stage in the life cycle of a plant or alga that produces spores through meiosis.

Gametophyte

The sexual phase in the life cycle of plants and algae that produces gametes, or sex cells, by mitosis.

Alternation of Generations

A reproductive cycle of certain plants and algae that alternates between a sexual phase (gametophyte) and an asexual phase (sporophyte).

Sporophyte

The diploid, spore-producing phase in the life cycle of plants that undergo alternation of generations.