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6-2 Trigonometry

6-2 Trigonometry. Day 2. Yesterday we concentrated on sine, cosine and tangent functions. Today we will focus on the other 3 plus 3 trigonometric identities that you need to know!!!!. Trigonometric Functions. r. y. θ. x. Examples. Find Find Find. Now the Identities.

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6-2 Trigonometry

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  1. 6-2 Trigonometry Day 2

  2. Yesterday we concentrated on sine, cosine and tangent functions. Today we will focus on the other 3 plus 3 trigonometric identities that you need to know!!!!

  3. Trigonometric Functions r y θ x

  4. Examples • Find • Find • Find

  5. Now the Identities The three identities come from the Pythagorean Theorem. Apply it to the picture above. What do you get? r y θ x

  6. Now divide both sides by r2 Now replace with the trig functions – what do you get?

  7. The First Identity Can we write it as Divide both sides by cos2x. What do you get? Divide by sin2x instead – what happens?

  8. The Identities

  9. Why these? These identities give us a couple of ways to solve problems. • Csc x = 3, x is in Q II. Find the other 5 trig functions. • When θ is put in standard position its terminal side passes through (-5, -12). Find all six trig functions of θ.

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