Question

The expression secθ - ((tan^2)(θ)/(sec)(θ)) simplifies to what expression?−tan θ−cot θcos θsec θ

Answer 1

Given the expression

`sec(\theta)-(tan^2(\theta))/(sec(\theta))`

express in sen and cos terms

`(1)/(cos(\theta))-((sin^2(\theta))/(cos^2(\theta)))/((1)/(cos(\theta)))`
`(1)/(cos(\theta))-(sin^2(\theta))/(cos^(\theta))`
`(1-sin^2(\theta))/(cos^(\theta))`
`(cos^2(\theta))/(cos^(\theta))`
`cos^(\theta`

then the correct answer is option C

Cos (angle)