SOLUTION: Simplify each trigonometric expression. 1. sec (theta)[sec (theta) - cos (theta)]

Algebra.Com
Question 458078: Simplify each trigonometric expression.
1. sec (theta)[sec (theta) - cos (theta)]

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
sec (theta)[sec (theta) - cos (theta)]
---
sec(x)[(1/cos(x) - cos(x)]
----
sec(x)[(1-cos^2(x))/cos(x)]
---
sec(x)[sin^2(x)/cos(x)
----
= sin^2(x)/cos^2(x)
----
= tan^2(x)
================
Cheers,
Stan H.

RELATED QUESTIONS

Simplify the trigonometric expression. sec(theta)... (answered by lwsshak3)
using trigonometric identities to simplify the expression (csc theta)(sec theta - cos... (answered by Edwin McCravy)
Simplify the trigonometric expression. sec(theta)cos(theta) The options are A -... (answered by Alan3354)
Simplify each trig expression into 1 term: 1.) sin(theta)+cos(theta)cot(theta)... (answered by stanbon)
Simplify the expression (1-sec theta)(1+sec... (answered by Boreal)
simplify the following... (answered by Alan3354)
simplify the trig expression:... (answered by Alan3354)
Sec (Theta) - 1/ sec... (answered by Alan3354)
Write in terms of sin(theta) and cos(theta) then simplify so no quotients appear. 1.... (answered by stanbon)