Use the strategies you read about to rewrite Squareroot tan^3 middot x sec^4 as

Question

Use the strategies you read about to rewrite Squareroot tan^3 middot x sec^4 as sec^2x times the sum of powers of tan x. Write your powers of tan x in descending order (largest to smallest), and write them using parentheses, so tan^2x would be written as (tan x)^2. Don't include any extra characters or spaces in your answer. Squareroot sin middot tan^3 x middot sec^4 = (sec^2x) middot () Use the strategies you read about to rewrite tan^4x middot sec^5x as the sum of powers of sec x. Write your powers of sec x in descending order (largest to smallest), and write them using parentheses, so sec^2 would be written as (secx)^2. Don't include any extra characters or spaces in your answer. tan^4x middot sec^5 x =

Explanation / Answer

3)as we know that sec2x =1+tan2x

therefore tan3x *sec4x =tan3x *sec2x*sec2x =tan3x *sec2x*(1+tan2x) =(sec2x)*((tanx)^5+(tanx)^3)

4) similarly

tan4x*sec5x =(sec2x-1)2*sec5x =(sec4x-2sec2x+1)*sec5x =((secx)^9-2(secx)^7+(secx)^5)

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