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Find the Exact Value Of sin(x+y)\sin ( x + y )

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Find the exact value of sin(x+y)\sin ( x + y ) given that secx=3/2,cscy=3\sec x = 3 / 2 , \csc y = 3 , and x and y are in quadrant I.


Definitions:

Angiosperm

A group of plants that have flowers and produce seeds enclosed within a carpel; the largest group of plants on Earth.

Carpels

The female reproductive organ of a flower, consisting of an ovary, a stigma, and usually a style.

Mature Ovary

The part of the female reproductive organ in angiosperms that has completed its development phase, typically containing the ovules and ready for fertilization.

Stigmatized Pollen Grain

a pollen grain that has been rejected or marked negatively by stigma cells, potentially due to species incompatibility in plant reproduction.

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