Question

cosec theta +cot theta=√3,both cosec theta, cot theta

Answer 1

Hey !!!

cosec¢ + cot¢ = √3 (given ) -----1)

•°• cosec²¢ - cot²¢ = 1

(cosec¢ - cot¢ ) (cosec¢ + cot¢ ) = 1

(cosec¢ - cot¢ )×√3 = 1/√3

cosec¢ - cot¢ = √3 -----2)

adding equation. . 2) and 1)

cosec¢ + cot¢ +cose¢ - cot¢ = √3 + 1/√3

2cosec¢ = √3+1/√3

2cosec¢ = 4/√3

cosec¢ = 2√3 answer

And if we putting the value of cosec¢ on equation 1 we get cot also

cosec¢ + cot¢ = 2√3

1/√3 + cot¢ = √3

cot¢ = √3 - 2/√3

cot¢ = 3 -2 /√3

cot¢ = 1/√3 Answer

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Hope it helps you !!!

@Rajukumar111