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ID: 2920038 • Letter: H

Question

https://www mithatoonu Stadentrayed lorn' workaspx?hrmworkld-472 1 15729&question;!d-1&flushed; fa secld Anthony Smith Do Homework Anthony Sesith-Google Chrome Secure Math 1540 154H Trigonometry yLab Matl Homework: 7.1 Identities: Pythagorean and Sum/Differen 701 18 (4 complete) 1K Score: 0 of 1 pt 7.1.23 Smplify the expression Courses rse Home nments ter Contents 1 - tan2x 1- tan 1 tan 2x Plan ook Success rSuccess a Library Options ns ols Enter your answer in the answer box and then click Check Answer. All parts showing

Explanation / Answer

( 1- tan^4 x ) / ( 1 - tan^2 x )

factoring top part

( 1 - tan^2 x ) ( 1 + tan^2 x ) / ( ( 1 - tan^2 x )

cancelling ( 1 - tan^2 x ) from top and bottom

we are left with ( 1 + tan^2 x )

( 1+ tan^2 x ) = sec^2 x

final answer is sec^2 x