Question

prove that sec theta plus tan theta is equal to cos theta upon 1 minus sin theta ​

Answer 1

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