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Horizontal Tangent of a Trigonometric Function
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Find the trigonometric function of the form $$f(x)= a*\sin(x)+b*\cos(x)$$ that has a horizontal tangent at $$x=0$$ and satisfies $$f(0)=2$$. Which equation is correct?

For functions of the form $$f(x)= a*\sin(x)+b*\cos(x)$$,
f(0) = b and f’(0)= a.

A

$$2*\cos(x)+1$$

B

$$3*\cos(x)$$

C

$$2*\cos(x)$$

D

$$2*\sin(x)$$

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