Question

014. If cosece + cote = x, find the value of cosece - cote.​

Answer 1

Answer :

1/x

Step-by-step explanation:

cosec A + cot A = x

( cosec A - cot A )^2 = 1

(cosec A + cot A ) ( cosec A - cot A ) =1

x ( cosec A - cot A ) = 1

( cosec A - cot A ) = 1/x

Answer 2

Step-by-step explanation:

By Trigonometric Identity,

Cosec²A - Cot²A = 1

So,

Cosec²A - Cot²A = 1

=>(cosecA + cot A)(cosecA - cotA) = 1

[a² - b² = (a + b)(a - b)]

Putting the value of (cosecA - cotA) we get,

=>x(cosecA - cotA) = 1

[ coseccA + cotA = x (given)]

=> cosecA - cotA = 1/x

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