if cosec q + cot q=52 then find value of tan q
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Answer:cosec a + cot a = 5/2
Cosec^2 a + cot^2 a + 2cosec a. Cota =25/4
Using formula cosec^2 a= 1+cot^2 a,
Cot^2 a +1+ cot^2a + 2coseca. Cot a= 25/4
Rearranging:
2cot a(cot a + cosec a) = 21/4
Substituting cot a+ cosec a = 5/2,
2cot a. 5/2=21/4
Cot a = 21/20
Hence tan a = 20/21
Step-by-step explanation:
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