Question

Sec^6theta =tan^6theta +3×tan^2theta×sec^2theta +1

Answer 1

Answer:

${sec}^{6} x = { {(sec}^{2}x) }^{3} = {(1 + {tan}^{2}x) }^{3} \\ = 1 + {tan}^{6} x + 3 {tan}^{2} x(1 + {tan}^{2} x) \\ = 1 + {tan}^{6} x + 3 {tan}^{2} x \: {sec}^{2} x$