prove that sec theta plus tan theta is equal to cos theta upon 1 minus sin theta
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secΦ + tanΦ = cosΦ/ 1- sinΦ
solving from RHS
cosΦ*(1+ sinΦ) / 1 - sin^2Φ
cosΦ + cosΦsinΦ / cos^2Φ
cosΦ/ cos^2Φ + cosΦsinΦ/cos^2Φ
1/cosΦ + sinΦ/cosΦ
secΦ + tanΦ
hope it helped you
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