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Crank
3 years ago
5

Eliminate a forx=tan a+cot ay=tan a-cot a​

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

Step-by-step explanation:

x=tan a +cot a

x²=tan²a+cot²a+2tan a×cot a

x²=tan²a+cot²a+2

x²-2=tan²a+cot²a

y=tan a-cot a

squaring

y²=tan²a+cot²a-2 tan a cota

y²=tan²a+cot²a-2

y²+2=tan²a+cot²a

equating

x²-2=y²+2

or x²-y²=4

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