Question

senx secx (tanx+cotx)=sec²x

Answer 1

senx secx (tanx+cotx)=sec²x

$senx \ secx(tanx+cotx)=sec^{2}x \\ \\ senx \ \frac{1}{cosx} ( \frac{senx}{cosx}+ \frac{cosx}{senx})=sec^{2}x \\ \\ \ \frac{senx}{cosx}( \frac{sen^{2}x+cos^{2}}{cosxsenx})=sec^{2}x \\ \\ \frac{senx}{cosx}( \frac{1}{cosxsenx})=sec^{2}x \\ \\ \frac{senx}{cos^{2}senx }=sec^{2}x \\ \\ \frac{1}{cos^{2}x}=sec^{2}x \\ \\ sec^{2}x=sec^{2}x$