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Unit 7 Lesson 2 Investigation 2

Unit 7 Lesson 2 Investigation 2. Proving Trigonometric Identities. Page 465 from the C+4B Text. Reciprocal Identities Quotient Identities Pythagorean Identities. Let’s start off with an easy example:. We will make the left side look like the right first by using the Pythagorean identity.

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Unit 7 Lesson 2 Investigation 2

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  1. Unit 7 Lesson 2 Investigation 2 Proving Trigonometric Identities

  2. Page 465 from the C+4B Text Reciprocal IdentitiesQuotient IdentitiesPythagorean Identities

  3. Let’s start off with an easy example: We will make the left side look like the right first by using the Pythagorean identity Next, we will re-write tan using the quotient identity

  4. From the last slide: We will finish by reducing cosine and both sides will now be identical.

  5. Here is another example:

  6. We will start by working on the left side of the equation by rewriting the sine and cosine using the quotient identity:

  7. Now we can cross cancel inside the parenthesis Inside the brackets we need a common denominator

  8. Next, we combine the fraction Again we can cross cancel sinx and we are left with… Which equals the right side!

  9. Here is another example: Let’s start by working on the right side of the equation by multiplying by 1 in the conjugate of the denominator.

  10. Multiply the denominator (hint: use foil) Use the Pythagorean indentify to simplify the denominator

  11. Distribute the numerator: Separate the fraction: Reduce the fractions:

  12. Next, simplify each fraction The identity is now complete and so is the tutorial. See your teacher for practice problems.

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