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Dengan:
sin²Ф + cos²Ф = 1
Berlaku juga:
1-cos²Ф = sin²Ф
Sehingga,
Nomor 1.
= (1-cos²Ф)csc²Ф
= sin²Ф x 1/sin²Ф
= 1
Nomor 2.
= (sinФ-cosФ)²
= sin²Ф -2.sinФ.cosФ + cos²Ф
= (sin²Ф+cos²Ф) - 2.sinФ.cosФ
= 1 - 2.sinФ.cosФ