Question

Prove the flowing:
${cot}^{2} a \: - \frac{1}{ {sin}^{2}a } \: + 1 = 0$
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Answer 1

Answer:

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L.H.S

cot^2 a - 1/sin^2 a +1

= cos^2 a /sin^2 a - 1/sin ^2 a +1

= cos^2 -1 / (1-cos^2) +1

= -(-cos^2 +1)/ ( 1-cos^2)+1

= -1 +1

=0

=L.H.S

(proved)

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