Most languages seem to only have sincos and tan. While the other 3 are just 1/cos1/sin and 1/tan, is there any way that supporting the other 3 directly could be faster than calculating one and then performing a division? Are there any other reasons beyond the triviality of deriving the other cscsec and cot from the existing sincos and tan to exclude them?
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Is there any particular reason to only include 3 out of the 6 trigonometry functions?
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