Find the values of x between 0 and a where the tangent line to the graph of y = sin (x) cos (x) is horizontal. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of x-coordinates.) x =

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A:

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A: Given tan u=-3.

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A: I am attaching image so that you understand each and every step.

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A: Given Data: tan θ  =3/4 The figure below represents the reference right angle triangle.

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Q: Write the exact form:  sec(2x) if sin(x)=2/5

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.