Question

If cosec A + cot A = 7 then tan A is equal to-
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Answer 1

Answer:

(cosec A + cot A) x (cosec A - cot A)/(cosec A - cot A) --->11/2

ie (cosec^2 A - cot^2 A) /(cosec A - cot A ) --->11/2

now cosec^2 A - cot^2 A is 1

so 1/(cosecA - cotA) --->11/2 so cosec A - cot A --->2/11

cosec A + cot A ---> 11/2

subtraction gives - 2 cot A --->2/11 -11/2---> -117/22

so cot A ---> 117/44

now tan A ---> 1/cot A ---> 44/117