# Using differentials or linearization, estimate \tan 2^{\circ}

## Question:

Using differentials or linearization, estimate {eq}\tan 2^{\circ} {/eq}

## Linear Approximation

Finding the value of trigonometric functions can be difficult when they're not the angles defined in the unit circle. We can instead use a linearization to construct a linear approximation that will estimate these hard to calculate values.

{eq}L(x) = f(a) + f'(a) (x-a) {/eq}

## Answer and Explanation:

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In order to construct the linearization of this function, we need to chose where to center our approximation. Since we're asked for the value of...

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#### Learn more about this topic: How to Estimate Function Values Using Linearization

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Chapter 10 / Lesson 2
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Sometimes landing on Mars isn't that easy. You might need to use linearization to estimate if you will crash into the planet, or miss it entirely. Learn how to do just that in this lesson.