Question

Q14. Prove that (Coseco - Cote)2
1-Cose
1+Cosa​

Answer 1

Answer:

How do I prove that (cosecA-cotA) ²=1-cosA/1+cosA?

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Left hand side

=(cscA−cotA)2=(1sinA−cosAsinA)2

=(1−cosA)2(sinA)2

=(1−cosA)21−cos2A

=(1−cosA)2(1−cosA)(1+cosA)

=(1−cosA)(1+cosA)

=Right hand side