Question

Solution for this one step by step please

Answer 1

D

Explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ =
`(1)/(sec0)` , then

`(1+tan^20)/(cos^20)`

=
`(sec^20)/((1)/(sec^20) )`

= sec²Θ × sec²Θ

=
`sec^(4)`Θ

Answer 2

`D.\:\:\:\:\:\sec^4\theta`

Explanation:

• 
  `(1+\tan^2\theta)/(\cos^2\theta)`

• 
  `=(\sec^2\theta)/(\cos^2\theta)\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)`

• 
  `=\sec^2\theta.(1)/(\cos^2\theta)`

• 
  `{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because(1)/(\cos^2\theta)=\sec^2\theta)`

• 
  `=\sec^4\theta`

Hope it helps you in your learning process.