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Need answer to pictured problem! The answer should be in reference to trig identities

Need Answer To Pictured Problem The Answer Should Be In Reference To Trig Identities class=
Need Answer To Pictured Problem The Answer Should Be In Reference To Trig Identities class=

Sagot :

Step 1. The expression that we have is:

[tex]cos^2(5x)[/tex]

and we need to find the equivalent expression.

Step 2. The trigonometric identity we will use to solve this problem is:

[tex]cos^2A=1-sin^2A[/tex]

In this case:

[tex]A=5x[/tex]

Step 3. Applying the trigonometric identity to our expression, substituting 5x in the place of A:

[tex]cos^2(5x)=\boxed{1-sin^2(5x)}[/tex]

This is shown in option d).

Answer:

[tex]\boxed{d)\text{ }1-s\imaginaryI n^2(5x)}[/tex]

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