if cosec A - cot A =13 then find the value of (cosec A + cot A) - Math - Some Applications of Trigonometry

Question

if cosec A - cot A =13 then find the value of (cosec A + cot
A)

Ajanta Trivedi · Accepted Answer

given equation is: $\cos e c A - \cot A = 13............ (1)$

multiplying by $\cos e c A + \cot A$ on the both sides of eq(1)

$(\cos e c A - \cot A) (\cos e c A + \cot A) = 13 (\cos e c A + \cot A) \cos e c^{2} A - \cot^{2} A = 13 (\cos e c A + \cot A) 1 = 13 (\cos e c A + \cot A) [∵ \cos e c^{2} A - \cot^{2} A = 1] \cos e c A + \cot A = \frac{1}{13}$

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