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Hello this is simple what I ned you to do is write this answer below into a handwriting good handwriting don't change anything make it
Hello this is simple what I ned you to do is write this answer below into a handwriting good handwriting don't change anything make it look good .
NOTE: please use a white paper thank you.
\f\fSolution 2: LS RS Start by making the more sec2x - 2secx cosx + coszx intricate aSPECI lass mm plicamd' sins}: ta nEx This rule makes things easier by saying that when you have 2 {59\" ' \"505le {a plus or minus b], you can just square a, double it. and then add b squared. This cool trick I used is all about the reciprocal trig identity. It says that sec x is just 1 divided by cos x : { , oosxiE 1'05.'L So here's what I did to solve this problem: I wanted to get a common denominator of cos x. = { 1 ' \"\"7" )2 To do that. I multiplied the numerator of the second term by cos x. which gave me cos'2 I. Then I put it all together. and ta-da! We ended up with {'1 - cos\"2 x t cos xil | used: the Pythagorean trig identity! 2 { :=r:-.rrf:'_.trosrr )2 It's a real game-changer.witch I got that 1 is equal to sin"2 3-: plus cos\"2 X To simplifyI the expression, I grouped the terms involving cos2x together. This step helps streamline the equation and facilitates further : { \"PF-T )2 calculations. Gathering like terms is a fundamental technique in algebraic manipulation. allowing us to proceed more efciently with the problem. To expand the equation, I squared both the numerator and denominator. This process involves multiplying each term in the numerator and denominator by itself. By performing this expansion, we can obtain a more detailed representation of the expression so: '1' css'rr I decided to split the fraction into two separate fractions. One of the fractions had a denominator of 1. while the other had a denominator of cos\"2x. This approach was taken instead of having both fractions 1.ivith a denominator of cosx. The reason behind this choice is that the fraction sin2xrcostt2x represents the quotient identity of tan\"2x. Ely splitting the fraction in this way. we can make better use of the trigonometric identity and simplify the expression more effectively. After carrying out the previous steps, I arrived at a final, simplied ratio that corresponds to the desired form of RS. 2 sins): tangy: Therefore since L8 2 RS. seczx Esecx cosx + coszx = sin2 tanzxStep by Step Solution
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