Does sec/tan = cosec?

1 ⤊

Does sec/tan = cosec?

If so is there a proof for it?

Pamela

2007-11-11 03:30:46 · 2 answers · asked by twinklestar_pam 1 in Science & Mathematics ➔ Mathematics

2 answers

sec x / tan x
= (1 / cos x) / (sin x / cos x)
= (1 / cos x) (cos x / sin x)
= 1 / sin x
= cosec x

2007-11-15 02:58:29 · answer #1 · answered by Como 7 · 0⤊ 0⤋

Sec = 1/cos
Tan = Sin /Cos
therefore sec/tan = 1/cos / sin/cos = 1/cos * cos/sin
= 1/sin = cosec

The above are using trigonometric identities and you can also prove them using geometry

2007-11-11 11:38:01 · answer #2 · answered by A Little Sarcasm Helps 5 · 1⤊ 0⤋