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Aim #5.1: How do we verify the trigonometric identities?

Aim #5.1: How do we verify the trigonometric identities?. The Fundamental Identities –. Example 1: Changing to Sines and cosines. Verify the identity: Sec x cot x = csc x. Check for Understanding:. Verify the identity: csc x tan x = sec x. Example 2: Changing to Sines and Cosines.

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Aim #5.1: How do we verify the trigonometric identities?

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  1. Aim #5.1: How do we verify the trigonometric identities? • The Fundamental Identities –

  2. Example 1: Changing to Sines and cosines • Verify the identity: Sec x cot x = csc x

  3. Check for Understanding: • Verify the identity: csc x tan x = sec x

  4. Example 2: Changing to Sines and Cosines • Verify the identity: sin x tan x + cos x = sec x

  5. Check for Understanding: • Verify the identity: cos x cot x + sin x = csc x

  6. Example 3: Using Factoring to Verify an Identity • Verify the identity: cos x – cos x sin2 x = cos3 x

  7. Check for Understanding: • Verify the identity: sin x –sin x cos2 x = sin3 x

  8. Example 4: Using Two Techniques • Verify the identity:

  9. Check for Understanding: • Verify the identity:

  10. Example 5: Combining Fractional Expressions to Verify an Identity • Verify an Identity:

  11. Check for Understanding: • Verify the identity:

  12. Example 6: Multiplying the Numerator and Denominator by the Same Factor

  13. Check for Understanding:

  14. Example 7: Changing to Sines and Cosines

  15. Check for Understanding: • Verify the identity:

  16. Example 8: Working w/ Both sides Separately to Verify the Identity

  17. Check for Understanding: • Verify the identity:

  18. Guidelines for Verifying Trigonometric Identities • To be given in class

  19. Summary: Answer in complete sentences. • In class

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