Question

Prove that (1-sin²) Sec² =1​

Answer 1

This is your answer

Step-by-step explanation:

$(1 - {sin}^{2} ) {sec}^{2}$

${cos}^{2} \times {sec}^{2}$

[By formula sin^2+cos^2 = 1 then,cos^2 = 1-sin^2]

${cos}^{2} \times \frac{1 }{ {cos}^{2} }$

[As,secx = 1/cosx then,sec^2x = 1/cos^2x ]

= 1

Hence proved