An equation like sin2 ? + cos2?= 1 is called an identity

Chapter 3, Problem 1AAE

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QUESTION:

Problem 1AAE

An equation like sin2 θ + cos2θ= 1 is called an identity because it holds for all values of An equation like sin θ = 0.5is not an identity because it holds only for selected values of not all. If you differentiate both sides of a trigonometric identity in θ with respect to θ the resulting new equation will also be an identity.

Differentiate the following to show that the resulting equations hold for all θ

Questions & Answers

QUESTION:

Problem 1AAE

An equation like sin2 θ + cos2θ= 1 is called an identity because it holds for all values of An equation like sin θ = 0.5is not an identity because it holds only for selected values of not all. If you differentiate both sides of a trigonometric identity in θ with respect to θ the resulting new equation will also be an identity.

Differentiate the following to show that the resulting equations hold for all θ

ANSWER:

Solution

Step 1 of 3:

In this problem we have to show that if we differentiate the given trigonometric identities the resulting new equation will also be an identity

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