Question

cot^2A - 1/sin^2A =​

Answer 1

Step-by-step explanation:

$\: { \cot }^{2}a - \: \frac{ 1 }{ { \sin }^{2} a} \\ \\ since \: { \cot }^{2} a \: = \frac{ co {s}^{2}a }{si {n}^{2} a} \\ \\ \frac{ co {s}^{2}a }{si {n}^{2} a} - \: \frac{ 1 }{ { \sin }^{2} a} \\ \\ \frac{co {s}^{2}a - 1 }{si {n}^{2}a } \\ \\ since \: si {n}^{2} a \: + co {s}^{2} a \: = 1 \\ \\ co {s}^{2} a \: - 1 = si {n}^{2} a \\ \\ \frac{si {n}^{2} a}{si {n}^{2} a} \\ \\ 1$

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