What is the equation of the tangent line

Kiara Haas

Kiara Haas

Answered question

2022-03-25

What is the equation of the tangent line of f(x)=sin2x+cos2x at x=0?

Answer & Explanation

Sawyer Anthony

Sawyer Anthony

Beginner2022-03-26Added 10 answers

Explanation:
Observe that sin2(x)+cos2(x)=1, so this function is actually a constant.
This means that its graph is the horizontal line y=1, and of course the tangent to a line is the line itself.
So, in every point (thus including x=0), the tangent to y=1 is y=1 itself.

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