Reciprocal identities are applied in various trigonometry problems to simplify the calculations. The formulas of the six main reciprocal identities are:
- sin x = 1/cosec x
- cos x = 1/sec x
- tan x = 1/cot x
- cot x = 1/tan x
- sec x = 1/cos x
- cosec x = 1/sin x

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